1. What is the process of finding the factors of an expression which is the reverse

process of multiplication?

A. factoring C. rationalization

B. special product D. continuous division

2. What is the Greatest Common Factor of 12 and 24?

A. 2 B. 4 C. 12 D. 24

3. Which of the following pair of numbers has a GCF of 6?

A. 2 and 3 B. 8 and 12 C. 6 and 10 D. 12 and 18

4. What is the GCF of 2a3 and a

6?

A. a

3 B. 2a3 C. a

6 D. 2a

6

5. What is the GCF of a5b8, a4b6, a3b9, and a12b10?

A. a5b8 B. a3b6 C. a12b8 D. a12 b6

6. All of the following are factors of 12x2 Except one. What is it?

A. 12 B. 12x C. 12x2 D. 12x3

7. What is the GCF of the expression 4x4 + 6x?

A. 2 B. x C. 2x D. 2x4

8. If one factor of 4x2 + 6 is 2, what is the other factor?

A. 2x + 3 B. 4x + 6 C. 2x + 6 D. 2x2 + 3

9. If one factor of 6ab2 – 12 a2b3 is 1 – 2ab, what is the other factor?

A. 6ab B. 6a2b C. 6ab2 D. 6a2b2

10. Which of the following is a perfect square?

A. 12x4 B. 16x2y2 C. 25x5y6 D. 36x6y7

11. Which of the following expressions has factors (2x - y) and (2x + y)?

A. 2x2 + y2 B. 2x2 – y2 C. 4x2 + y2 D. 4x2 – y212. Using the pattern for factoring the sum of cubes, we know that factoring 8 +

3



gives

A. (2 − )(4 − 2 +

2

)

B. (2 − )(4 + 2 +

2

)

C. (2 + )(4 − 2 +

2

)

D. (2 + )(4 + 2 +

2

)

13. What is the complete factored form of 273 – 643?

A. (3x – 4y)(9x2 + 12xy + 16y2)

B. (3x + 4y)(9x2 + 12xy + 16y2)

C. (3x – 4y)(9x2 - 12xy + 16y2)

D. (3x + 4y)(9x2 - 12xy + 16y2)

14. What is the complete factored form of 10 + 270y3?

A. 10(1 + 3y)(1 + 3y +9y2) C. 10(1 - 3y)(1 + 3y +9y2)

B. 10(1 + 3y)(1 - 3y +9y2) D. 10(1 - 3y)(1 - 3y +9y2)

15. 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​