Class 10 Polynomials. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
|
|
- Blake Boyd
- 6 years ago
- Views:
Transcription
1 ID : in-10-polynomials [1] Class 10 Polynomials For more such worksheets visit Answer t he quest ions (1) If α and β are the zeros of quadratic polynomial x 2 + px - 2q, f ind the value of α 2 + β 2. (2) If α and β are the zeros of quadratic polynomial x 2-3x - 4, f ind the value of α 3 + β 3. (3) If α and β are the zeros of polynomial x 2-5x + k, such that α - β = 3. Find the value of k. (4) If a and b are the zeros of quadratic polynomial x 2-2px + q, f ind the value of 1/a + 1/b. (5) If α and β are the zeros of polynomial x 2-5x + k, such that α 2 + β 2 = 13. Find the value of k. Choose correct answer(s) f rom given choice (6) Find the zeros of the polynomial f (x) = x 3 - x 2-4x + 4, if it is given that two of its zeros are equal in magnitude but opposite in sign. a. 1, -1 and -2 b. 2, -2 and 1 c. 2, -2 and -1 d. 1, -1 and 2 (7) Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomial x 2-4x + 3. a. b. c. d. (8) If α and β are the zeros of polynomial x 2 - x - 2, f ind a polynomial whose zeros are 3α+2 and 3β+2. a. k [x 2-7x - 8] b. k [x 2-8x + 7] c. k [x 2 + 7x - 10] d. k [x 2 + 8x - 8] (9) Find the zeros of the polynomial f (x) = x 3-9x x - 24, if it is given that sum of its two zeros is 5. a. 3, 2 and -4 b. 4, 1 and 2 c. 4, 1 and 3 d. 3, 2 and 4 (10) If α and β are the zeros of quadratic polynomial x 2-2x + 1, f ind the value of 1/α 3 + 1/β 3. a. 0 b. 4 c. 3 d. 2
2 ID : in-10-polynomials [2] (11) Find the zeros of the polynomial f (x) = x 3-18x x - 120, if it is given that the zeros are in arithmetic progression. a. 1, 5 and 9 b. 3, 7 and 11 c. 0, 4 and 8 d. 2, 6 and 10 (12) If two zeros of polynomial x 3 + bx 2 + cx + d are 1+ 2 and 1-2, f ind its third zero. a. -b - 2 b. c - 2 c. - c - 2 d. b - 2 (13) Find the quadratic polynomial such that sum of its zeros is 19 and dif f erence between zeros is 5. a. k [x x + 84] b. k [x 2-20x + 84] c. k [x 2-19x - 84] d. k [x 2-19x + 84] (14) If α and β are the zeros of polynomial x 2 - x - 2, f ind a polynomial whose zeros are α 2 /β 2 and β 2 /α 2. a. b. c. d Edugain ( All Rights Reserved Many more such worksheets can be generated at
3 Answers ID : in-10-polynomials [3] (1) p 2 + 4q Sum of zeros = α + β = -(p/1) = -p Product of zeros = αβ = -2p/1 = -2q α 2 + β 2 = (α + β) 2-2αβ = (-p) 2-2(-2q) α 2 + β 2 = p 2 + 4q (2) 63 Sum of zeros = α + β = -(-3/1) = 3 Product of zeros = αβ = -4/1 = -4 α 3 + β 3 = (α + β) 3-3αβ(α+β) = (3) 3-3(-4)(3) = 63
4 (3) 4 ID : in-10-polynomials [4] Sum of zeros α + β = -(-5/1) = 5 Product of zeros αβ = (k/1) = k (α - β) 2 = (3) 2 (α + β) 2-4αβ = 9 (5) 2-4k = 9 (5) 2-4k = k = 9 Step 8 4k = 16 Step 9 k = 16/4 = 4 (4) 2q Sum of zeros = a + b = -(-2p/1) = 2p Product of zeros = ab = p/1 = q 1/a + 1/b = (a + b)/ab = (2p)/(q) = 2q
5 (5) 6 ID : in-10-polynomials [5] Sum of zeros α + β = -(-5/1) = 5 Product of zeros αβ = (k/1) = k (α + β) 2 = (5) 2 (α 2 + β 2 ) + 2αβ = k = 25 2k = 12 k = 6
6 (6) b. 2, -2 and 1 ID : in-10-polynomials [6] Let α, β and γ be the zeros of polynomial It is given than β = -α α + β + γ = 1 α + (-α) + γ = 1 γ = 1 Product of zeros = αβγ = -4 (α)(-α)(1) = -4 Step 8 α 2 = -4/(-1) = 4 Step 9 α = 2 or -2 0 β = -2 or 2 1 Hence zeros are 2, -2 and 1
7 ID : in-10-polynomials [7] (7) c. Let α and β be the zeros of polynomial x 2-4x + 3 Sum of zeros α + β = -(-4/1) = 4 Product of zeros αβ = (3/1) = 3 Let S and P respectively be the sum and products of zeros of the required polynomial Required polynomial will be k [x 2 - Sx + P] = (k is a constant)
8 ID : in-10-polynomials [8] (8) a. k [x 2-7x - 8] Sum of zeros α + β = -(-1/1) = 1 Product of zeros αβ = (-2/1) = -2 Let S and P respectively be the sum and products of zeros of the required polynomial S = 3α β + 2 = 3(α + β) + 2(2) S = 3(1) + 2(2) = 7 P = (3α + 2) (3β + 2) = 9αβ + 6α + 6β + 4 = 9αβ + 6(α + β) + 4 P = = -8 Step 8 Required polynomial will be k [x 2 - Sx +P] = k [x 2-7x - 8] (k is a constant)
9 (9) d. 3, 2 and 4 ID : in-10-polynomials [9] Let α, β and γ be the zeros of polynomial α + β = 5 α + β + γ = 9 γ = 9-5 = 4 Product of zeros = αβγ = 24 αβ = 24/4 = 6 α (5 - α) = 6 Step 8 5α - α 2 = 6 Step 9 α 2-5α + 6 = 0 0 (α - 3) (α - 2) = 0 1 α = 3 or 2 2 β = (5-3) = 2 or (5-2) = 3 3 Hence zeros are 3, 2 and 4
10 (10) d. 2 ID : in-10-polynomials [10] Sum of zeros = α + β = -(-2/1) = 2 Product of zeros = αβ = 1/1 = 1 = 2
11 (11) d. 2, 6 and 10 ID : in-10-polynomials [11] Let α = (a - d), β = a and γ = (a + d) be the zeros of polynomial α + β + γ = 18 (a - d) + a + (a + d) = 18 3a = 18 a = 18/3 = 6 Product of zeros = αβγ = 120 (a - d)(a)(a + d) = 120 Step 8 a(a 2 - d 2 ) = 120 Step 9 6(6 2 - d 2 ) = d 2 = 120/6 = 20 1 d 2 = 16 2 d = 4 or Hence zeros are (6-4), 6 and (6 + 4) => 2, 6 and 10 OR (6 + 4), 6 and (6-4) => 10, 6 and 2
12 (12) a. -b - 2 ID : in-10-polynomials [12] Let third zero be x Sum of zeros = -b/1 = -b (1+ 2) + (1-2) + x = -b 2 + x = -b x = -b - 2 (13) d. k [x 2-19x + 84] Let α and β be the zeros of the required polynomial Sum of zeros α + β = 19 Dif f erence of zeros α - β = 5 (α + β) 2 - (α - β) 2 = 4αβ (19) 2 - (5) 2 = 4αβ 336 = 4αβ αβ = 336/4 = 84 Step 8 Required polynomial will be k [x 2 - (α + β)x + αβ] = k [x 2-19x + 84] (k is a constant)
13 ID : in-10-polynomials [13] (14) a. Sum of zeros α + β = -(-1/1) = 1 Product of zeros αβ = (-2/1) = -2 Let S and P respectively be the sum and products of zeros of the required polynomial P = (α 2 /β 2 ) (β 2 /α 2 ) = 1 Required polynomial will be k [x 2 - Sx + P] = (k is a constant)
Grade 8 Algebraic Identities
ID : ae-8-algebraic-identities [1] Grade 8 Algebraic Identities For more such worksheets visit www.edugain.com Answer t he quest ions (1) If, f ind the value of. (2) If 3(p 2 + q 2 + r 2 ) = (p + q + r)
More informationGrade 10 Arithmetic Progressions
ID : ww-0-arithmetic-progressions [] Grade 0 Arithmetic Progressions For more such worksheets visit www.edugain.com Answer t he quest ions () The nth term of an arithmetic progression is given by the equation
More informationGrade 10 Arithmetic Progressions
ID : us-0-arithmetic-progressions [] Grade 0 Arithmetic Progressions For more such worksheets visit www.edugain.com Answer t he quest ions () The sum of f irst 9 terms of an arithmetic progression is -234
More informationClass 8 Multiplication of Polynomials
ID : in-8-multiplication-of-polynomials [1] Class 8 Multiplication of Polynomials For more such worksheets visit www.edugain.com Answer t he quest ions (1) If (2pq + 2p) ( -2pq + 2p + 2) = ( -4p 2 q 2
More informationClass 10 Quadratic Equations
ID : in-10-quadratic-equations [1] Class 10 Quadratic Equations For more such worksheets visit www.edugain.com Answer t he quest ions (1) Had Sunil scored 8 more marks in his mathematics test out of 30
More informationGrade 6 Integers. Answer t he quest ions. Fill in the blanks. For more such worksheets visit
ID : ae-6-integers [1] Grade 6 Integers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the predecessor of each of the f ollowing integers: A) -98 = B) -63 = C) -8 = D) -3
More informationGrade 8 Factorisation
ID : ae-8-factorisation [1] Grade 8 Factorisation For more such worksheets visit www.edugain.com Answer the questions (1) Find factors of following polynomial A) y 2-2xy + 3y - 6x B) 3y 2-12xy - 2y + 8x
More informationClass 4 Fractions. Answer t he quest ions. For more such worksheets visit
ID : infractions [] Class Fractions For more such worksheets visit www.edugain.com Answer t he quest ions () Which mixed f raction is shown by the f igure given below? () If sum of both horizontal and
More informationGrade 10 Quadratic Equations
ID : ae-10-quadratic-equations [1] Grade 10 Quadratic Equations For more such worksheets visit www.edugain.com Answer t he quest ions (1) A two digit number is such that the product of its digits is 15.
More informationGrade 8 Rational Numbers
ID : ae--rational-numbers [1] Grade Rational Numbers For more such worksheets visit wwwedugaincom Answer t he quest ions (1) Find the dif f erence between the greatest and the least numbers of - 4-24 9
More informationClass 8 Factorisation
ID : in-8-factorisation [1] Class 8 Factorisation For more such worksheets visit www.edugain.com Answer the questions (1) Find factors of following polynomial A) xy - 7y + 9x - 63 B) xy - 5y + 6x - 30
More informationGrade 9 Number System
ID : ae-9-number-system [] Grade 9 Number System For more such worksheets visit www.edugain.com Answer t he quest ions () Write a multiple of -5-7 rational number? (2) Express the f ollowing numbers in
More informationGrade 5 Large Numbers
ID : gb-5-large-numbers [1] Grade 5 Large Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Arrange the f ollowing numbers in Ascending Order: 34606246, 33371563, 23968628,
More informationClass 4 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : in-4-decimals [1] Class 4 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) Write the number one Ten thousandths in decimal f orm (2) What do you get when you subtract
More informationGrade 8 Rational Numbers
ID : sg-8-rational-numbers [1] Grade 8 Rational Numbers For more such worksheets visit wwwedugaincom Answer t he quest ions (1) Is 003 the multiplicative inverse of 33 1 3? Why or why not? (2) What is
More informationClass 4 Large Numbers
Class 4 Large Numbers For more such worksheets visit www.edugain.com ID : in-4-large-numbers [1] Answer t he quest ions (1) Find the sum of 549556 and 8407100. (2) Find the sums: A) 2 1 1 9 1 1 7 4 B)
More informationRoots and Coefficients Polynomials Preliminary Maths Extension 1
Preliminary Maths Extension Question If, and are the roots of x 5x x 0, find the following. (d) (e) Question If p, q and r are the roots of x x x 4 0, evaluate the following. pq r pq qr rp p q q r r p
More informationClass 10 Quadratic Equations
ID : in-10-quadratic-equations [1] Class 10 Quadratic Equations For more such worksheets visit www.edugain.com Answer the questions (1) The sum of square of two positive numbers is 832. If square of the
More informationGrade 6 Geometry. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : ww-6-geometry [1] Grade 6 Geometry For more such worksheets visit www.edugain.com Answer t he quest ions (1) If AB and CD are parallel, f ind the value of angle x. Choose correct answer(s) f rom given
More informationGrade 7 Integers. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks
ID : ae-7-integers [1] Grade 7 Integers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Subtract : A) 21644 f rom 22642 B) -4505 f rom -83570 C) 133 f rom 16220 D) -56723 f rom
More informationGrade 6 Integers. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks
ID : ww-6-integers [1] Grade 6 Integers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Subtract : A) -8566 f rom 37583-73166 f rom 13448-62694 f rom 11073 57430 f rom -53545
More informationClass 7 Symmetry. Answer the questions. For more such worksheets visit (1) Find the order of rotational symmetry in the given image.
ID : in-7-symmetry [1] Class 7 Symmetry For more such worksheets visit www.edugain.com Answer the questions (1) Find the order of rotational symmetry in the given image. (2) How many lines of symmetry
More informationClass 8 Introduction to Graphs
ID : in-8-introduction-to-graphs [1] Class 8 Introduction to Graphs For more such worksheets visit www.edugain.com Answer t he quest ions (1) A bus is travelling with unif orm speed in one direction. Following
More informationGrade 9 Full Year 9th Grade Review
ID : ae-9-full-year-9th-grade-review [1] Grade 9 Full Year 9th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) The average of Aden's marks in 5 subjects is 79. She
More information(5) Find the resultant shape obtained by connecting points (0, 5) (0, 20) (25, 20) and (25, 5).
ID : ww-9-olympiad [1] Grade 9 Olympiad For more such worksheets visit www.edugain.com Answer t he quest ions (1) If a cone and hemisphere stands on equal bases, and have the same height. Find the ratio
More informationClass 4 Division. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : in-4-division [1] Class 4 Division For more such worksheets visit www.edugain.com Answer t he quest ions (1) Division is a repeated f orm of which other mathematical operation? Choose correct answer(s)
More informationGrade 10 Full Year 10th Grade Review
ID : ph-10-full-year-10th-grade-review [1] Grade 10 Full Year 10th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) If cot θ = a/b and 0 > θ > 90, f ind value of cosec
More informationL Y Q S F C. Class 7 Symmetry. Answer t he quest ions. For more such worksheets visit
ID : in-7-symmetry [1] Class 7 Symmetry For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the order of rotational symmetry in f ollowing image. (2) How many lines of symmetry
More informationUNIT-I CURVE FITTING AND THEORY OF EQUATIONS
Part-A 1. Define linear law. The relation between the variables x & y is liner. Let y = ax + b (1) If the points (x i, y i ) are plotted in the graph sheet, they should lie on a straight line. a is the
More informationClass 7 Integers. Answer the questions. Choose correct answer(s) from the given choices. Fill in the blanks
ID : in-7-integers [1] Class 7 Integers For more such worksheets visit www.edugain.com Answer the questions (1) An integer is divided by 4 and gives a remainder of 3. The resulting quotient is divided
More informationGrade 10 Linear Equations in Two Variables
ID : ae-10-linear-equations-in-two-variables [1] Grade 10 Linear Equations in Two Variables For more such worksheets visit www.edugain.com Answer t he quest ions (1) 12 chairs and 10 tables cost Dhs4700
More informationClass 9 Full Year 9th Grade Review
ID : in-9-full-year-9th-grade-review [1] Class 9 Full Year 9th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a parallelogram with E and F as the mid-points
More information4 Unit Math Homework for Year 12
Yimin Math Centre 4 Unit Math Homework for Year 12 Student Name: Grade: Date: Score: Table of contents 3 Topic 3 Polynomials Part 2 1 3.2 Factorisation of polynomials and fundamental theorem of algebra...........
More information(4) How is the number f orty-six and eighty-f our Ten thousandths written in decimal f orm? a b c d. 46.
ID : ww-6-decimals [1] Grade 6 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) What is the dif f erence of nine Thousandths and f ive Ten thousandths? (2) Fill in the
More informationGrade 10 Full Year 10th Grade Review
ID : ae-10-full-year-10th-grade-review [1] Grade 10 Full Year 10th Grade Review For more such worksheets visit www.edugain.com Answer the questions (1) The sum of the n consecutive natural even numbers
More informationGrade 10 Quadratic Equations
ID : ae-10-quadratic-equations [1] Grade 10 Quadratic Equations For more such worksheets visit www.edugain.com Answer the questions (1) Solve quadratic equation (x 0 and x -1). (2) The age of a mother
More informationGrade 8 Full Year 8th Grade Review
ID : ww-8-full-year-8th-grade-review [1] Grade 8 Full Year 8th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the 6 rational numbers between -3 10 and -7 10.
More informationGrade 7 Triangle and its properties
ID : ae-7-triangle-and-its-properties [1] Grade 7 Triangle and its properties For more such worksheets visit www.edugain.com Answer t he quest ions (1) In triangle In ΔABC, D is a point on the side BC
More informationGrade 9 Geometry-Overall
ID : au-9-geometry-overall [1] Grade 9 Geometry-Overall For more such worksheets visit www.edugain.com Answer t he quest ions (1) A chord of a circle is equal to its radius. Find the angle subtended by
More informationGrade 9 Linear Equations in Two Variables
ID : cn-9-linear-equations-in-two-variables [1] Grade 9 Linear Equations in Two Variables For more such worksheets visit www.edugain.com Answer the questions (1) In the graph of the linear equation 4x
More informationGrade 9 Lines and Angles
ID : sg-9-lines-and-angles [1] Grade 9 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If AB and PQ are parallel, compute the angle Z. (2) Find the value of a+b.
More informationClass 7 Mensuration - Perimeter, Area, Volume
ID : U-92206-76-2397-Mensuration-Perimeter-Area-Volume [1] Class 7 Mensuration - Perimeter, Area, Volume For more such worksheets visit www.edugain.com Answer t he quest ions (1) The cost of f encing is
More informationGrade 9 Data Handling - Probability, Statistics
ID : ph-9-data-handling-probability-statistics [1] Grade 9 Data Handling - Probability, Statistics For more such worksheets visit www.edugain.com Answer t he quest ions (1) Danilo selects 3 numbers randomly
More informationGrade 6 Natural and Whole Numbers
ID : pk-6-natural-and-whole-numbers [1] Grade 6 Natural and Whole Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Along the highway, there are electric poles on one side
More informationGrade 7 Lines and Angles
ID : ae-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If lines AC and BD intersects at point O such that AOB: BOC = 3:2, f ind
More informationGrade 9 Full Year 9th Grade Review
ID : ww-9-full-year-9th-grade-review [1] Grade 9 Full Year 9th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) A carpenter has cut a board in the shape of trapezium.
More informationClass 10 Real Numbers
ID : in-10-real-numbers [1] Class 10 Real Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) The LCM of two numbers is 760 and their product is 6080. Find their HCF. (2)
More informationGrade 5 Multiplication
ID : ww-5-multiplication [1] Grade 5 Multiplication For more such worksheets visit www.edugain.com Answer t he quest ions (1) Sharon is practicing to participate in an upcoming marathon. She runs 17 km
More informationGrade 7 Lines and Angles
ID : ww-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) WXYZ is a quadrilateral whose diagonals intersect each other at the point
More informationClass 9 Linear Equations in Two Variables
ID : in-9-linear-equations-in-two-variables [1] Class 9 Linear Equations in Two Variables For more such worksheets visit www.edugain.com Answer the questions (1) A telecom operator charges Rs. 1.1 for
More informationClass 5 Fractions. Answer t he quest ions. For more such worksheets visit
ID : in-5-fractions [] Class 5 Fractions For more such worksheets visit wwwedugaincom Answer t he quest ions () The table below shows the number of books read by f ive children in one month Name Number
More informationGrade 9 Circles. Answer t he quest ions. For more such worksheets visit
ID : th-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it
More informationOCR Maths FP1. Topic Questions from Papers. Roots of Polynomial Equations
OCR Maths FP1 Topic Questions from Papers Roots of Polynomial Equations PhysicsAndMathsTutor.com 18 (a) The quadratic equation x 2 2x + 4 = 0hasroots and. (i) Write down the values of + and. [2] (ii) Show
More informationClass 9 Data Handling - Probability, Statistics
ID : in-9-data-handling-probability-statistics [1] Class 9 Data Handling - Probability, Statistics For more such worksheets visit www.edugain.com Answer t he quest ions (1) A card is drawn f rom a shuf
More information3.0 INTRODUCTION 3.1 OBJECTIVES 3.2 SOLUTION OF QUADRATIC EQUATIONS. Structure
UNIT 3 EQUATIONS Equations Structure 3.0 Introduction 3.1 Objectives 3.2 Solution of Quadratic Equations 3.3 Quadratic Formula 3.4 Cubic and Bioquadratic Equations 3.5 Answers to Check Your Progress 3.6
More informationGrade 9 Lines and Angles
ID : ww-9-lines-and-angles [1] Grade 9 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If CD is perpendicular to AB, and CE bisect angle ACB, f ind the angle
More informationGrade 6 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : ae-6-decimals [1] Grade 6 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) What do you get when you divide 323.61 by 48.3? (2) The juice cart sells 192.65 liters
More informationClass 4 Conversion of Units
ID : in-4-conversion-of-units [1] Class 4 Conversion of Units For more such worksheets visit www.edugain.com Answer the questions (1) Convert the following: 17km 28hm 40dam 35m = m (2) 18 decigrams = grams
More informationGrade 10 Real Numbers
ID : ww-10-real-numbers [1] Grade 10 Real Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) In a seminar, the number of participants in German, English and French are 378,
More informationClass 9 Geometry-Overall
ID : in-9-geometry-overall [1] Class 9 Geometry-Overall For more such worksheets visit www.edugain.com Answer t he quest ions (1) AB is diameter of the circle. If A and B are connected to E, circle is
More informationGrade 7 Algebra-Expressions and Equations
ID : ae-7-algebra-expressions-and-equations [1] Grade 7 Algebra-Expressions and Equations For more such worksheets visit www.edugain.com Answer the questions (1) Find the sum of following polynomials:
More informationGrade 7 Integers. Answer the questions. For more such worksheets visit
ID : ae-7-integers [1] Grade 7 Integers For more such worksheets visit www.edugain.com Answer the questions (1) A railway company makes a profit of Dhs 1570 on per ticket of business class while loses
More informationClass 6 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks
ID : in-6-decimals [1] Class 6 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) At a construction site, there are 19.5 loads of bricks, and the total weight of all the
More informationGrade 6 Second quarter at school
ID : ww-6-second-quarter-at-school [] Grade 6 Second quarter at school For more such worksheets visit wwwedugaincom Answer t he quest ions () Shade the images to show the f ollowing f raction addition
More informationClass 6 Geometry. Answer the questions. For more such worksheets visit (1) If AB and DE are parallel, find the value of ACB.
ID : in-6-geometry [1] Class 6 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) If AB and DE are parallel, find the value of ACB. (2) If AB and DE are parallel to each other,
More informationTenth Maths Polynomials
Tenth Maths Polynomials Polynomials are algebraic expressions constructed using constants and variables. Coefficients operate on variables, which can be raised to various powers of non-negative integer
More informationGrade 5 Decimal Numbers
ID : ww-5-decimal-numbers [1] Grade 5 Decimal Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) At a construction site, there are 14.5 loads of bricks, and the total weight
More informationGrade 9 Data Handling - Probability, Statistics
ID : ae-9-data-handling-probability-statistics [1] Grade 9 Data Handling - Probability, Statistics For more such worksheets visit www.edugain.com Answer t he quest ions (1) The numbers 1 to 19 are written
More informationGrade 4 Conversion of Units
ID : ae-4-conversion-of-units [1] Grade 4 Conversion of Units For more such worksheets visit www.edugain.com Answer the questions (1) A water storage tank is filled with 94 l of water. On the first day
More informationGrade 7 Lines and Angles
ID : ph-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If CD is perpendicular to AB, and CE bisect angle ACB, f ind the angle
More informationGrade 4 Conversion of Units
ID : cn-4-conversion-of-units [] Grade 4 Conversion of Units For more such worksheets visit www.edugain.com Answer t he quest ions () Convert the units: 9 meter = decameter (2) Convert the units: 8 hectalitre
More informationGrade 9 Quadrilaterals
ID : ww-9-quadrilaterals [1] Grade 9 Quadrilaterals For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a rectangle and point P is such that PB = 3 2 cm, PC = 4 cm and PD
More informationGrade 5 Geometry. Answer the questions. Choose correct answer(s) from the given choices. Fill in the blanks
ID : cn-5-geometry [1] Grade 5 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) What is the common term for the perimeter of a circle? (2) What is the perimeter of an isosceles
More informationClass 9 Quadrilaterals
ID : in-9-quadrilaterals [1] Class 9 Quadrilaterals For more such worksheets visit www.edugain.com Answer t he quest ions (1) The diameter of circumcircle of a rectangle is 13 cm and rectangle's width
More informationClass 6 Second quarter at school
ID : in6secondquarteratschool [] Class 6 Second quarter at school For more such worksheets visit wwwedugaincom Answer the questions () Find the value of the following : 7 () If the following figure represents
More informationGrade 9 Logical Reasoning
ID : ae-9-logical-reasoning [] Grade 9 Logical Reasoning For more such worksheets visit www.edugain.com Answer t he quest ions () Kalid is brother of Akram. Aziza is sister of Kalid. Abdul is brother of
More informationIntegration of Rational Functions by Partial Fractions
Title Integration of Rational Functions by MATH 1700 MATH 1700 1 / 11 Readings Readings Readings: Section 7.4 MATH 1700 2 / 11 Rational functions A rational function is one of the form where P and Q are
More informationIntegration of Rational Functions by Partial Fractions
Title Integration of Rational Functions by Partial Fractions MATH 1700 December 6, 2016 MATH 1700 Partial Fractions December 6, 2016 1 / 11 Readings Readings Readings: Section 7.4 MATH 1700 Partial Fractions
More informationCHAPTER 2 POLYNOMIALS KEY POINTS
CHAPTER POLYNOMIALS KEY POINTS 1. Polynomials of degrees 1, and 3 are called linear, quadratic and cubic polynomials respectively.. A quadratic polynomial in x with real coefficient is of the form a x
More informationSolutions to Exercises, Section 2.4
Instructor s Solutions Manual, Section 2.4 Exercise 1 Solutions to Exercises, Section 2.4 Suppose p(x) = x 2 + 5x + 2, q(x) = 2x 3 3x + 1, s(x) = 4x 3 2. In Exercises 1 18, write the indicated expression
More informationGrade 4 2nd three months in school
ID : ae-4-2nd-three-months-in-school [1] Grade 4 2nd three months in school For more such worksheets visit www.edugain.com Answer the questions (1) If 16 kg of corn is required to make food for 688 people,
More informationGrade 10 Mean, Mode and Median
ID : pk-10-mean-mode-and-median [1] Grade 10 Mean, Mode and Median For more such worksheets visit www.edugain.com Answer t he quest ions (1) The distribution of IQ among a set of students is given below.
More informationMidterm Review. Name: Class: Date: ID: A. Short Answer. 1. For each graph, write the equation of a radical function of the form y = a b(x h) + k.
Name: Class: Date: ID: A Midterm Review Short Answer 1. For each graph, write the equation of a radical function of the form y = a b(x h) + k. a) b) c) 2. Determine the domain and range of each function.
More informationClass 4 Time. Answer the questions. For more such worksheets visit
ID : in-4-time [1] Class 4 Time For more such worksheets visit www.edugain.com Answer the questions (1) It is half past 11 now. After how many minutes will the clock strike 12? (2) Akshiti is driving her
More informationClass 7 Lines and Angles
ID : in-7-lines-and-angles [1] Class 7 Lines and Angles For more such worksheets visit www.edugain.com Answer the questions (1) ABCD is a quadrilateral whose diagonals intersect each other at point O such
More informationMaths Extension 2 - Polynomials. Polynomials
Maths Extension - Polynomials Polynomials! Definitions and properties of polynomials! Factors & Roots! Fields ~ Q Rational ~ R Real ~ C Complex! Finding zeros over the complex field! Factorization & Division
More informationClass 8 Full Year 8th Grade Review
ID : in-8-full-year-8th-grade-review [1] Class 8 Full Year 8th Grade Review For more such worksheets visit www.edugain.com Answer the questions (1) The given figure shows some fruits in a basket. Gauri
More informationCLASS X FORMULAE MATHS
Real numbers: Euclid s division lemma Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0 r < b. Euclid s division algorithm: This is based on Euclid s division
More informationAlg 1B Chapter 7 Final Exam Review
Name: Class: Date: ID: A Alg B Chapter 7 Final Exam Review Please answer all questions and show your work. Simplify ( 2) 4. 2. Simplify ( 4) 4. 3. Simplify 5 2. 4. Simplify 9x0 y 3 z 8. 5. Simplify 7w0
More informationClass 6 Decimals. Answer the questions. Choose correct answer(s) from the given choices. For more such worksheets visit
ID : in-6-decimals [1] Class 6 Decimals For more such worksheets visit www.edugain.com Answer the questions (1) At a construction site, there are 16.5 loads of bricks and the total weight of all the loads
More informationClass 5 4th quarter in school
ID : in-5-4th-quarter-in-school [1] Class 5 4th quarter in school For more such worksheets visit www.edugain.com Answer the questions (1) For the last 4 days, Ram is spending the same amount every day.
More informationMath Numerical Analysis Mid-Term Test Solutions
Math 400 - Numerical Analysis Mid-Term Test Solutions. Short Answers (a) A sufficient and necessary condition for the bisection method to find a root of f(x) on the interval [a,b] is f(a)f(b) < 0 or f(a)
More informationSection 0.2 & 0.3 Worksheet. Types of Functions
MATH 1142 NAME Section 0.2 & 0.3 Worksheet Types of Functions Now that we have discussed what functions are and some of their characteristics, we will explore different types of functions. Section 0.2
More informationCM2104: Computational Mathematics General Maths: 2. Algebra - Factorisation
CM204: Computational Mathematics General Maths: 2. Algebra - Factorisation Prof. David Marshall School of Computer Science & Informatics Factorisation Factorisation is a way of simplifying algebraic expressions.
More informationMaths Class 11 Chapter 5 Part -1 Quadratic equations
1 P a g e Maths Class 11 Chapter 5 Part -1 Quadratic equations 1. Real Polynomial: Let a 0, a 1, a 2,, a n be real numbers and x is a real variable. Then, f(x) = a 0 + a 1 x + a 2 x 2 + + a n x n is called
More informationGrade 5 Decimal Numbers
ID : ae-5-decimal-numbers [1] Grade 5 Decimal Numbers For more such worksheets visit www.edugain.com Answer the questions (1) Which number is 0.26 less than the largest 2-digit number? (2) What is the
More informationMathematics AQA Advanced Subsidiary GCE Core 1 (MPC1) January 2010
Link to past paper on AQA website: http://store.aqa.org.uk/qual/gce/pdf/aqa-mpc1-w-qp-jan10.pdf These solutions are for your personal use only. DO NOT photocopy or pass on to third parties. If you are
More informationMathematics, Algebra, and Geometry
Mathematics, Algebra, and Geometry by Satya http://www.thesatya.com/ Contents 1 Algebra 1 1.1 Logarithms............................................ 1. Complex numbers........................................
More informationB.Sc. MATHEMATICS I YEAR
B.Sc. MATHEMATICS I YEAR DJMB : ALGEBRA AND SEQUENCES AND SERIES SYLLABUS Unit I: Theory of equation: Every equation f(x) = 0 of n th degree has n roots, Symmetric functions of the roots in terms of the
More information6.3 Partial Fractions
6.3 Partial Fractions Mark Woodard Furman U Fall 2009 Mark Woodard (Furman U) 6.3 Partial Fractions Fall 2009 1 / 11 Outline 1 The method illustrated 2 Terminology 3 Factoring Polynomials 4 Partial fraction
More information