8-1. Adding and Subtracting Polynomials. Warm- Up. Write in Standard Form. Write in Slope Intercept Form. 1.) y = -! x +2 2.
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1 8-1 Adding and Subtracting Polynomials Warm- Up Write in Standard Form. Write in Slope Intercept Form. 1.) y = -! x +.) (3, 4) (6, 1)! Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. 14.) (6, ); y = 3x + 4 Vocabulary Builder poly- (prefix) PAHL ee Related Words: many, several, polynomial, polygon Definition: The prefix poly means many or several and is used to make compound words such as polygon. polynomial 3x 3xy y monomials 3x, 3xy, y Main Idea: Polynomials may contain one or several monomials.
2 Classifications 1st Degree nd Degree 3rd Degree 4th Degree 5th Degree Linear Quadratic Cubic Quartic Quintic By Degree 0 Degree Constant By Terms 1 Term Monomial Terms Binomial 3 Terms Trinomial 4 or more Polynomial
3 Classify the Polynomial Polynomial Standard form Leading Coefficient 6 Degree Classified by Degree Classified by number of terms - x 3x + 1 x x - 5 4x 3 8x 1 5x - 7x 3 + x 4 7x x 3 70x+ 39x
4 Adding Polynomials. Find the sum and write the answer in standard form. 1. (6x x + 3) + (4x x ) Try on your own!!. ( x x 4) + ( x + 3x + 1) 3. (7 + x 4x ) + (- 3x + x 5) Subtracting Polynomials Find the difference and write the answer in standard form. 4. (5x 4x + 1) ( 8 x ) Try on your own!! 5. (- x + x ) ( 3x + 7x ) 6. (x + 7x ) (1 + 3x x )
5 Use Your Vocabulary. Cross out the expression that does NOT have x3 as a factor. x5 1x xxy (3x) 3. Circle the factor tree that shows a prime factorization. 8-6x x 6 Multiplying 6x and Factoring 6x 6x x x 6x 3x 3 x x Vocabulary Problem 1 Multiplying a Monomial and a Trinomial Review 1. Place a if the number is a multiple of 10 and an if the number 3 is NOT a Got ofit? multiple 10. What is a simpler form of 5n(3n n 1 8)? Finding the GCF of a pair of monomials is similar to finding the GCF of a pair of integers. 3 Use the arrows to50help you Distribute the 5n. 5. The simplified form of 5n(3n n 6. Circle the pair of numbers with a GCF of 4. is 1 Vocabulary Builder 4 and 5 5n (3n3 Ľ n 4 and 8 and 1 The factors of x y à 68) include factor (noun) FAK tur 7. Circle theâ pair of monomials Ľ àwith a GCF of 4x., x, and y. Related Words: divide, factorable, factored form Try own your wn!! is5x Definition: Aofactor a whole number or variable that divides 4x and 4x and 6x another whole 8x and 1x number with a remainder of 0. Cross 3 8h + numbers whose n + 6) 1. 6x3(3x8. x + 10)out the pair(s). of 4h( h h) GCF is NOT 3. 4n(n 8 and 16 8x and 16x 15 and and 18 4 and 36 Chapter 8 6 x59. Cross out the 1x pair(s) of monomials xxy whose GCF is NOT (3x) 6y.. Cross out the expression that does NOT have x3 as a factor. 3. Circle the factor tree that shows a prime factorization. 15y and 16y 16y and 18y Try own 6xyour own!! 6x 6x 1. 6x3(3x 8h +3x h) 6 x x + 10) 6x x. 4h( h3 x Problem 4y and 36y 6x 3. 43n(nx + 5xn + 6) Finding the Greatest Common Factor Problem 1 Multiplying a Monomial and a Trinomial 4 Got It? What is the GCF of the terms of 3x 9x 1x? It? What is a simpler form of 5n(3n3 n 1 8)? Got 10. Circle the GCF of the numbers 3, 9, and Distribute the 5n. Use the arrows to help you. 5. The simplified form of 5n(3n3 n 1 8). 1 3is n (3n3 Ľ n à 8) GCFàof x, x, and x4. Try on 11. your Circle oâwn!! the Ľ 0 x 3 + 3z 7z x 3. 33w7 + 55w5 wx g4 + 1g3 x 14g. 15z 1. The GCF of the terms of 3x4 9x 1x is Reserved. Chapter 8. 6 Problem 3 Factoring Out a Monomial 6 4 Copyright by Pearson Education, Inc. or its affiliates. All Rights Reserved. Use Your Vocabulary 30 and 36 30y and 36y 1 x4
6 Problem 3 Factoring Out a Monomial Got It? What is the factored form of 9x x 4 1 1x? k 3 9k n n + 54n 3. 3z 4 80z z
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