Practice Page
Directions: Answer these questions pertaining to factoring. Only completely factored answers are deemed as correct. Check each answer when finished.

1.
Factor completely:   x2 - 49

Choose:
(x + 7)(x + 7) (x - 7)(x - 7)
(x + 7)(x - 7) (x - 7)2
fm1

 

 

2.
Factor completely:   6x2 - 15x - 9

Choose:
(2x + 1)(3x - 9) (2x - 1)(3x - 9)
3(x + 3)(2x - 1) 3(2x + 1)(x - 3)
fm6

 

 

3.
Factor completely:   a3b - 49ab3

Choose:
a3b3(a + b)(a - b) a3b(a + 7b)(a - 7b)
ab(a + 7b)(a - 7b) a(a2b + 7b)(a - 7b2)
fm2

 

 

4.
Factor completely:   4m2 - 24m + 36
Choose:
4(m - 3)2 4(m - 3)(m + 3)
4(m + 3)2 (2m - 3)(2m + 3)
fm7

 

 

5.
Factor completely:   -2p3 + 4p2 + 14p 

Choose:
-2p(p2 + 2p - 7) 2p(p2 - 2p + 7)
-2p(p + 2)(p - 7) -2p(p2 - 2p - 7)
fm3

 

 

6.
Factor completely:   x4 - 81

Choose:
(x2 + 9)(x2 - 9) (x - 3)(x + 3)(x2 + 9)
(x2 - 9)2 (x - 3)2(x2 + 9)
fm8

 

 

7.
Factor completely:  (a + 2)(a + 3) + (a - 1)(a + 3)

Choose:
(a + 3)(2a - 1) (2a + 1)(a + 3)
(a + 3)(a2 + a - 2) (a - 2)(a + 3)
fm4

 

 

8.
Factor completely:   mixedfrac
Choose:
mfb mfa
mfc (5 - y)(5 + y)
fm10

 

 

9.
Factor completely:   49 - 36x2y2

Choose:
(7 + 6xy)(7 + 6xy) (7 - 6xy)(7 - 6xy)
(7 + 6xy)(7 - 6xy) (7 + 4xy)(7 - 9xy)
fm5

 

 

10.
Factor completely:   2(y + 4)2 + 5(y + 4) - 12

Choose:
(2y - 3)(y + 4) (2y + 3)(y - 4)
(2y + 5)(y + 8) (2y - 5)(y - 8)
fm9

 

 

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