Instructor: Richard Getso Course: Math 200.P10 TR 1:00 PM Spring 2016 (Getso)

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1 1/8/016 Practice Test 1 (Chapter 11) Richard Getso Student: Richard Getso Date: 1/8/16 Instructor: Richard Getso Course: Math 00.P10 TR 1:00 PM Spring 016 (Getso) Assignment: Practice Test 1 (Chapter 11) 1. Factor out the greatest common factor from the polynomial. x + 6 x + 6 = (x + 13) (Type your answer in factored form.). Factor a a a a = a (3 a ) (Type your answer in factored form.) 3. Factor out the GCF from the polynomial. 3x 8 1x 6 A. 3x 6 ( x 4 ) B. 3x 7 (x 4 x) C. x 8 ( 3x 1 ) D. 3( x 8 4x 6 ) 4. Factor the following four term polynomial by grouping. x xy + 7y Select the correct choice below and, if necessary, fill in the answer box within your choice. A. x xy + 7y = ( + y)(x + 7) B. The polynomial is not factorable by grouping. 5. Factor the four term polynomial by grouping. 3 x + x + 8x + 4 Select the correct choice below and, if necessary, fill in the answer box within your choice. A. 3 x + x + 8x + 4 = (x + 4)(x + 1) B. The polynomial is not factorable by grouping. 1/7

2 1/8/016 Practice Test 1 (Chapter 11) Richard Getso 6. Factor the four term polynomial by grouping. 18x 15 x + 1x 10 A. ( 3x )( 6 x + 5 ) B. ( 18x )(x + 5 ) C. ( 18 x + )(x 5 ) D. ( 3 x + )( 6x 5 ) 7. x 1x + 3 A. x 1x + 3 = (x 4)(x 8) (Type your answer in factored form.) 8. If the polynomial cannot be factored, say it is prime. x 10x + 5 A. x 10x + 5 = (x 5) (Type your answer in factored form.) 9. x 6x 7 A. x 6x 7 = (x 7)(x + 1) (Type your answer in factored form.) 10. 6t 40 + t A. 6t 40 + t = B. 6t 40 + t is prime. (t 4)(t + 10) /7

3 1/8/016 Practice Test 1 (Chapter 11) Richard Getso 11. 6x + 18x 60 A. 6x + 18x 60 = 6(x + 5)(x ) 1. If the polynomial is prime, select the choice "prime." y 3 4y 30y A. y(y + 3 )(y 5 ) B. y(y 3 )(y + 5 ) C. ( y + 6 y)(y 5 ) D. prime r + 5r + 0r A r + 5r + 0r = 5r (r + 1)(r + 4) B r + 5r + 0r is prime. 14. Factor completely. 8x + 17x + A. 8x + 17x + = (8x + 1)(x + ) B. 8x + 17x + is prime. 15. Factor completely. 3x x A. 3x x = (3x + )(x 1) (Factor completely.) 3/7

4 1/8/016 Practice Test 1 (Chapter 11) Richard Getso 16. Factor the trinomial by grouping. 0x x 1 A. 0x x 1 = (5x 4)(4x + 3) (Factor completely.) B. 0x x 1 is prime x 104x 80 A. 8(3x )(x + 5) B. ( 4 x + 16 )(x 5) C. 8 (3x + )(x 5) D. prime 18. Factor the trinomial by grouping. 3 3x + 13x + 1x A. 3 3x + 13x + 1x = x(3x + 4)(x + 3) (Factor completely.) B. 3 3x + 13x + 1x is prime. 19. Factor the following binomial completely. x 16 A. x 16 = (x + 4)(x 4) B. x 16 is prime. 0. Factor the following binomial completely. 9x 64 A. 9x 64 = (3x + 8)(3x 8) B. 9x 64 is prime. 4/7

5 1/8/016 Practice Test 1 (Chapter 11) Richard Getso 1. Factor the binomial completely. 49x 81 A. ( 7x 9 ) B. ( 7 x + 9 ) C. ( 7 x + 9 )( 7x 9 ) D. prime. Factor the following binomial completely. 18r 3 A. 18r 3 = (3r + 4)(3r 4) B. 18r 3 is prime. 3. (x 7)(x + 6) = 0 x = 7, 6 4. x(x + 9) = 0 x = 0, 9 5. x = (9x 1)(8x + 6) = 0 1, x + x 35 = 0 x = 7,5 5/7

6 1/8/016 Practice Test 1 (Chapter 11) Richard Getso 7. x x = 0 A. 4, 5 B. 4, 5 C. 1,0 D. 4, 5 8. x 3x = 18 x = 6, n + 35 n = 0 A. 0 B. 5, C D. 5, x 15 = x x = 5,3 31. An object is thrown upward from the top of a 18 foot building with an initial velocity of 11 feet per second. The height h of the object after t seconds is given by the quadratic equation h = 16t + 11t When will the object hit the ground? The object will hit the ground at when the time is 8 seconds. 3. An object is dropped from 30 feet below the tip of the pinnacle atop a 1186 ft tall building. The height h of the object after t seconds is given by the equation h = 16t Find how many seconds pass before the object reaches the ground. 8.5 (Type an integer or a decimal.) seconds pass before the object reaches the ground. 6/7

7 1/8/016 Practice Test 1 (Chapter 11) Richard Getso 33. The length of the base of a triangle is twice its height. If the area of the triangle is 144 square kilometers, find the height. x x The height is 1 kilometers. 7/7

Chapter 11: Factoring Polynomials Greatest Common Factor. ca d Factoring When Terms Have a Common Factor. Factor completely. B Å'B * # "& B Ä'B

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