1.What is the Greatest Common Factor of 35x* y3 + 21x2 y2 - 14x?y?

A. 7x4y3
B. 7x2 y2
C. 7x2y
D. 7xy

2. Which of the following expressions has factors (2x - 3y) and (2x + 3y)?

A. 2x2 + 3y2
B. 2x2 - 3y2
C. 4x +9y2
D. 4x2 - 9y2

3. A rectangular farm has a side of (3x + 2) and (3x - 2). What is the area of the farm?

A. 9X2 +4
B. 9X2-4
C.9x2 - 6x + 4
D. 9x2 + 2x + 4

4. Factor 16x4 - 625y16 completely.

A. (4x2 - 25y4) (4x2 + 25y4 )
C. (2x2 + 5y4) (2x2 - 5y4) (4x4 + 25y®)
B. (4x4 - 25y8) (4x4 + 258)
D. (2x2 + 5y4) (2x2- 5y4) (2x2 + 5y4) (2x2 + 5y4)

5. Using the pattern for factoring the sum of cubes, we know that factoring 64 + 863 gives

A. (4 - 2b)(16 - 8b + 462)
B. (4 + 2b)(16 - 8b + 462)
C. (4 – 2b)(16 + 8b + 462)
D. (4 + 2b)(16 + 8b + 4b2)

6.A rectangular pond has a length of 3 times its width decreased by 3. Solve for the length and the width if the area of the said pond is 168m2?

A. 1 = 12m, w = 6m
B. 1 = 16m, w = 8m
C. 1 = 18 m, w = 7m
D. I = 21 m, w = 8 m​