10. If 3x + 2y is one factor of 3x2 - 10xy - 8y2, what is the other factor?
B. 3x + 4y
C. x + 5y D. x - 4y
A. 3x - 2y
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11. Which of the following is the complete factored form of x3 - 64?
A. (x-4)(x2 + 4x + 16)
C. (x + 4)(x2 - 4x + 16)
B. (x - 4)(x2 + 4x - 16)
D. (x-4)(x2 - 4x + 16)
+
12. Using the pattern for factoring the sum of two cubes, we know that factoring
27 + dgives
A. (3-0)(9 + 3d + d2)
C. (3 + d)(9- 3d + d2)
B. (3-0)(9-3d + d)
D. (3 + d) (9 + 3d - d2)
13. All of the following are perfect square trinomials EXCEPT one. Which is it?
A. b2 + 2bd + 4d2
B. 16x2 -24x + 9
C. 9a2 + 12ab + 4b2
D. 81y2 - 18yz + z2
14. Which of the following values of k will make x2 - 5x + k factorable?
A. 5
B. 12
C. -10
D. -14
15. Factor 16x8 - 625y16 completely.
A. (4x2 - 2544)(4x2 + 2544)
B. (4x4 - 25y3)(4x4 + 25y8)
C. (2x2 + 5y4) (2x2 - 544) (4x4 + 25y)
D. (2x2 + 5y4) (2x2 - 5y4)(2x2 + 5y4)(2x2 + 5y4)
16. If one factor of m-64m3 is m, what is/are the other factor/s?
A.1-64m2
B. 1-4m2
C. (1 - 4m)(1 + 4m)
D. (1 - 8m)(1 + 8m)
17. What is the complete factored form of 18h3 + 12h2 + 2h ?
A. (9h + 2)2 B. 2h(9h2 +6h + 1)
C. 2h( 3h - 1)
D. 2h( 3h + 1)2
18. All of the following polynomials are factorable EXCEPT one. What is it?
A. 5b2 - 40bc + 80c2
B. 2012 .- 60f + 45
C. 2x2y - 3xy2 + 4x2y2
D. x2 + x + 2
19. If the area of a square garden is (4x2 - 12x + 9) square units, is it possible to solve
its sides?
A. Yes, using factoring difference of two squares.
B. No, one of the sides must be given
C. Yes, the area is a perfect square trinomial
D. No, the area is not factorable
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