1) What is the Greatest Common Factor of 24 and 54? a) 1 b) 2 c) 3 d) 6 2) What is the GCF of x2 and x9 ? a) x2 b) x7 c) x11 d) x18 3) What is the GCF of xy10, x4y6, x9y9 and x10y10? a) xy b) xy6 c) x4y4 d) x4y6 4) What are the complete factors of 2x6 - 12x4? a) 2(x4 - 6x4) b) 2x5(x - 6x) c) 2x4(x2 - 6) d) x6(2x2 - 12) 5) If one factor of the difference of two squares is x + 2, what is the other factor? a) x - 2 b) x2 - 2 c) x2 - 22 d) (x - 2)2 6) What is the complete factored form of the expression y4 - 49? a) (y2)2 - (72)2 b) (y2 - 7)2 c) (y2 + 7)2 d) (y2 - 7)(y2 + 7) 7) Which of the following polynomials has factors (xy - 1)(xy + 1)? a) x2y - 1 b) x2y2- 1 c) xy2 - 1 d) x2y2 + 1 8) Which of the following expressions is a perfect cube? a) 8x b) 27x2 c) 64x6 d) 125x4 9) Which of the following is the complete factored form of the cubic polynomial x3 - 8? a) (x - 2)(x2 + 2x + 4) b) (x + 2)(x2 - 2x + 4) c) (x - 2)(x2 + 2x - 4) d) (x - 2)(x2 - 2x + 4) 10) Your classmate was asked to square (2x - 3), he answered 4x2 - 9. Is his answer correct?  a) Yes, because the product rule is correctly applied. b) Yes, because squaring a binomial always produces a binomial product. c) No, because the answer must be 4x2 +9. d) No, because squaring a binomial always produces a trinomial product. 11) What is the process of finding the factors of an expression which is the reverse process of multiplication? a) Factoring b) Special product c) Rationalization d) Continuous division 12) All of the following are factors of 12x2 EXCEPT one. What is it? a) 12 b) 12x c) 12x2 d) 12x3 13) What is the GCF of the expression 4x2 + 6x? a) 2 b) x c) 2x d) 2x4 14) If one factor of 6ab2 - 12a2b3 is 1 - 2ab, what is the other factor? a) 6ab b) 6a2b c) 6ab2 d) 6a2b2 15) What is the complete factored form of 10 + 270y3? a) 10(1+3y)(1+3y+9y2) b) 10(1+3y)(1-3y+9y2) c) 10(1-3y)(1+3y+9y2) d) 10(1-3y)(1-3y+9y2) 16) The area of a rectangular garden is 9t2 - 64 square units. If one side is 3t - 8, what is the other side? a) 3t - 8 b) 3t + 8 c) t - 8 d) t + 8

Factoring Polynomials - SMAW/EIM

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