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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-1 4-4 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). 1. 15z 60z. x 11 5. a 6a 169 6. 16x 1 7. 1x x 8. 8t 8t t 9. 4t 1t 9 11. 81a 9b 1. u 7 15. x 0xy 100y 16. u v uv 17. 9s t 6s t st 18. x 48xy 18y 19. 16xy x y 1. x( y ( y x y 1 1 y TMA Assignment List 1 Factoring and Solving Polynomials Page 1. 5. xy x y 6 6. ab a 5b 10 7. xy x y 8. ab b a 9. u u 1 v 1. u v u 4 6. 4x 8x 5. x 7 4 6. 815y 7. 81x 16 6 6 8. a b 9. a b 6 z a 4. x 1 1 ( ) ( ) 46. ( ) ( ) n 48. ( rt rs) ( rt rs) 49. x 1

n n n 51. 5. x n 4 4 55. 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 18 4. x 1x 0 5. u 16u 8 7. u 1u 6 9. x 9x 1 11. 1s s 1 1. 15t 8t 1 1. 0 x x 14. 4 t t 15. x xy 0y 17. 18 x x 19. t 5t 1. 6 5t 6t. 51w 6w. 4s5s 1 4. bb 15 5. 5x 8x 7. 6u uv v 9. x 7x 15 1. 6t t 15. 15z z 6. 14y 11y9 4. 4x 0x 5 5. 6h 7hk k 4 7. 4x 9x 9. 6x x x 6 6 4. 4 4 4. x 5x 44. z 8z 9 1 1 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 ) 4 6 4 9. x 8x 16 1. 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. 1. 0.1x 1.6x1.5 x 5. 15 x 15 TMA Assignment List 1 Factoring and Solving Polynomials Page

Solve. Identify all multiple roots. 7. ( x ) ( x ) 9. ( x 7( x 10 ( t t 7 8. 40. 4. ( 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 4 46. 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

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 81 9. t t 11. x 16 10x xx 4 1. 1. 4 ( 15. 17. t( t 6) t 18. 19. 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) 1. 15 z ( z). ( x1( x 1 ( a 6. (4x(4 x 5. 7. 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. 6. ( 5 y)(4 10y 5 y ) 7. 8. 48. ( 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 )( ) 5. 55. ( 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 )

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 ) 58. 59. 4( 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 ) 60. 4 x( x ( x 6. ( x n ( x n ( x n Practice Set C: Solving Polynomial Equations (p. 186) 1. 0,,1 1 1 19. 15., 1 17., 5, 1., 5. 4,9 7. ( dr..), 1. 0, 9. ( d. r.),( d. r.) 1.. 15, 1 1 5., 0( dr..),,, 1,1 5,, 1,1,, 1,1 7. (..), dr 8. 1,, 9...,,1 1 1 46..,,. 1,,5 44. 1(d.z.), Practice Set D: Word Problems (p. 189). -7 and -5 or 5 and 7 5. 1 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 10. 1 m 1. No 18. 40 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 5. 14 s Practice Set E: Solving Polynomial Inequalities (p. 196) x: x t : t 1 or t 7. 9. 11. x: x 8 1. x : x 4 or x 1 1 15. x : x or x 1. z: z t : t or 0 t 17. 18. x : x or0< x 1 19. 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

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