LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON

Size: px

Start display at page:

Download "LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON"

Jemima Cook
5 years ago
Views:

1 Trig/Math Anal Name No LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON HW NO. SECTIONS ASSIGNMENT DUE FS Practice Set A #1-57 eoo 4-5 Practice Set B #1-45 eoo, 57, 59 FS- 4-6 Practice Set A #6, 16, 6, 6, 46, 56 Practice Set B #4, 14, 4, 4, 44, 58, 60, 6 Practice Set C #1-4 odd FS- 4-7 Practice Set A #8, 8, 48, 58 Practice Set C #8-46 even Practice Set D #-9 odd, 1, FS--8 Practice Set D #6, 10, 18, 4 Practice Set E #7-1 odd, 5 FS-5 Review Practice Set A #-55 eoo, not 47 Practice Set B #-4 eoo Practice Set D #8, 5 Practice Set E #1, 18 Practice Set A: Factoring Polynomials (p. 174) Factor each polynomial (assume n denotes a positive integer) z 60z. x a 6a x x x 8. 8t 8t t 9. 4t 1t a 9b 1. u x 0xy 100y 16. u v uv 17. 9s t 6s t st 18. x 48xy 18y xy x y 1. x( y ( y x y 1 1 y TMA Assignment List 1 Factoring and Solving Polynomials Page xy x y 6 6. ab a 5b xy x y 8. ab b a 9. u u 1 v 1. u v u x 8x 5. x y 7. 81x a b 9. a b 6 z a 4. x 1 1 ( ) ( ) 46. ( ) ( ) n 48. ( rt rs) ( rt rs) 49. x 1

2 n n n x n x x 1 (Hint: add and subtract x ) 56. x (Hint: Add and subtract 4x. 4 4 x x y y 58. x y (Hint: Add and subtract something) Practice Set B: Factoring Quadratic Polynomials (p. 179) Factor completely (assume n denotes a positive integer). If the polynomial is prime, so state. 1. x 8x 7. y 8y1. t 9t x 1x 0 5. u 16u 8 7. u 1u 6 9. x 9x s s t 8t x x t t 15. x xy 0y x x 19. t 5t t 6t. 51w 6w. 4s5s 1 4. bb x 8x 7. 6u uv v 9. x 7x t t z z 6. 14y 11y9 4. 4x 0x h 7hk k x 9x 9. 6x x x x 5x 44. z 8z x x x a 6 6 6n 6n 58. x a 59. ( x x 5) ( x 8n 60. ( x x ( x x 6. x x 1 Practice Set C: Solving Polynomial Equations (p. 186) Solve. Identify all double roots. 1. y y y 15. t t 17. 6x 1 5x 19. m 10 7m 1. 5y10y. ( x )( x ) 5 5. ( t6) t 7. ( x )( x ) x 8x t 4t 5t Multiply both sides of the given equation by a number that will yield a polynomial with integral coefficients. Then solve for x x 1.6x1.5 x x 15 TMA Assignment List 1 Factoring and Solving Polynomials Page

3 Solve. Identify all multiple roots. 7. ( x ) ( x ) 9. ( x 7( x 10 ( t t ( x ) ( x ) ( x ) ( x ) ( x x 19 Find all zeros of f. Identify all multiple zeros. 4. f ( x) ( x ) ( x ) 44. f ( x) ( x ( x f ( t) t 17t Practice Set D: Word Problems (p. 189) Solve each problem. If there are two correct answers, give both of them.. Find two consecutive odd integers the sum 5. Find the dimensions of a rectangular lot if its of whose squares is 74. length is 7 m greater than its width and each of 6. One leg of a right triangle is cm longer than the other, and the hypotenuse is 15 cm long. How long are the legs? 8. The top of a 0-foot ladder is 4 feet farther up a wall than its foot is from the bottom of the wall. How far is the foot of the ladder from the wall? 10. The height of a triangle is 5 m greater than the length of its base, and its area is 4 square meters. Find its height. its diagonals is 1 m long. 7. Two ships leave port, one sailing due west and the other due south. Some time later they are 17 miles apart and one is 7 miles farther from port than the other. How far is each from port? 9. The hypotenuse of a right triangle is 15 cm. One leg is 6 cm less than twice the other in length. How long is each leg? 1. The distance d required for an automobile traveling at r mph to come to a complete stop is given approximately by d 0.05r r. If the speed limit is 55 mph and an automobile required 40 feet to stop, was the automobile s speed within the legal limit? 18. A rectangular corner lot originally had dimensions 50 m by 60 m, but one third of its original area was lost when the two adjacent streets were widened by the same amount. Find the new dimensions of the lot. Use the formula h k vt.9t. It gives the approximate height h in meters of an object t seconds after it is projected upward from a height of k meters at an initial upward speed of v m/s.. A projectile is fired from ground level with 4. A ball is thrown upward from the top of a an upward speed of 58.8 m/s. After how many tower 49 m high with an initial upward speed seconds will it be 98 m above the ground? of 14.7 m/s. After how many seconds will it Explain the significance of two answers. strike the ground? TMA Assignment List 1 Factoring and Solving Polynomials Page

4 5. A rocket is moving vertically with speed 68.6 m/s at an altitude of 500 m when its fuel is exhausted. How many seconds will elapse before the rocket is again at 500 m altitude? Practice Set E: Solving Polynomial Inequalities (p. 196) Find and graph the solution set of each inequality. 7. 9x t t 11. x 16 10x xx ( t( t 6) t x 4x 1. x( x ( x )( x ) TMA Assignment List 1 Factoring and Solving Polynomials Page 4 x 9x 0 x x x 0 tt 5. Practice Set W: Writing 1. Write a paragraph about a career field that uses mathematics. Describe how mathematics is used/related to this job. Include a topic sentence, supporting details, and a conclusion. ANSWERS Practice Set A: Factoring Polynomials (p. 174) z ( z). ( x1( x 1 ( a 6. (4x(4 x x(x ( x 8. t(t 9. (t ) 11. 9( a b)( a b) 1. ( u )( u u 9) 15. ( x 10 y) 16. uv( u v)( u uv v ) 17. st( s t) 18. (4x y) 19. xy( y x)(4y xy x ) 1. ( x)( y. ( x)( y 5. ( y)( x ) 6. ( b)( a 5) 7. (x( y ) 8. ( b( a ) 9. ( u 1 v)( u 1 v) 1. ( u v)( u v). 4( x ( 5 y)(4 10y 5 y ) ( a b )( a b)( a b) 9. 4 ( z a)( z z a a ). y( x y ) 4 ( x )( x x 9) (9x 4)(x )(x ) ( a b)( a ab b )( a b)( a ab b ) ( x )( x x 6. x( x y ) n n 4r st 49. ( x ( x n n n n 51. ( x y )( ) ( x 1 x)( x 1 x) ( x n n)( x n x n n n ) 56. ( x x)( x x) ( x y xy)( x y xy) 58. x y xy x y xy Practice Set B: Factoring Quadratic Polynomials (p. 179) 1. ( x7)( x. ( y6)( y ). ( t6)( t )

5 4. ( x 10)( x ) 5. ( u14)( u ) 7. ( u 6) 9. prime 11. (4s( s 1. (5t( t 1. (6 x)(5 x) 14. (6 t)(4 t) 15. ( x 5 y)( x y) 17. (6 x)(( x) 19. (t( t ) 1. ( t)( t). (5 w)(1 w). (1 s)(1 5 s) 4. prime 5. (5 w)(1 w) 7. prime 9. (x)( x 5) 1. (t5)( t ). (5z6)(z. prime 4. (x 5) 5. (h 4 k)(h 5 k) 7. x (x )(x ) 9. x(x ( x ( )( )( ) 4. ( )( x xy y )( )( x xy y ) 4. ( x )( x )( x ( x 44. ( z )( z )( z 1 1 x x ( x n a n )( x n a n )( x n a n ) ( x )( x ( x ) ( x n a n )( x n x n a n a n )( x n a n )( x n x n a n a n ) x( x ( x 6. ( x n ( x n ( x n Practice Set C: Solving Polynomial Equations (p. 186) 1. 0,, , 1 17., 5, 1., 5. 4,9 7. ( dr..), 1. 0, 9. ( d. r.),( d. r.) , , 0( dr..),,, 1,1 5,, 1,1,, 1,1 7. (..), dr 8. 1,, 9...,, ,,. 1,, (d.z.), Practice Set D: Word Problems (p. 189). -7 and -5 or 5 and m long by 5 m wide 6. 1 cm, 9 cm 7. 8 mi and 15 mi 8. 1 ft 9. 9 cm and 1 cm m 1. No m by 50 m. s and 10 s; the projectile will be at that height twice (on the way up and on the way down) 4. 5 s s Practice Set E: Solving Polynomial Inequalities (p. 196) x: x t : t 1 or t x: x 8 1. x : x 4 or x x : x or x 1. z: z t : t or 0 t x : x or0< x all real numbers 1. t: 5 t 6 5. x : x, x or 0 x 1 TMA Assignment List 1 Factoring and Solving Polynomials Page 5

Final Exam Review for DMAT 0310

Final Exam Review for DMAT 0310 Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x