Practice Page
Directions: Answer these questions pertaining to factoring. Only completely factored answers are deemed as correct.

1.
Factor completely:   36x + 12

Choose:
12(3x + 1) 12(x + 3)
4(9x + 3) 4(3x + 9)

 

 

2.
Factor completely:  (x - 5)(2x + 8) - (x - 5)(3x - 2)

Choose:
(x - 5)(x - 10) (x - 5)(x + 4)(3x - 2)
(x - 5)(x + 6) (x - 5)(10 - x)

 

 

3.
Factor completely:   25b2 - 64
Choose:
(5b - 8)2 (5b + 8)2
(5b - 8)(5b + 8) (5b + 16)(5b - 16)

 

 

4.
Factor completely:  a2 - 2a - 80

Choose:
(a - 20)(a + 4) (a - 10)(a + 8)
(a + 16)(a - 5) (a - 8)(a +10)

 

 

5.
Factor completely:   3p2 + 18p - 21 
Choose:
(3p + 7)(p - 1) (3p - 1)(p + 7)
3(p + 7)(p - 1) 3(p2 + 6p - 7)

 

 

6.
Factor completely:   15x3 - 45x2

Choose:
5x(3x2 + 9x) 15x2(x - 3)
5(3x3 - 9x2 ) 15x2(x - 4)

 

 

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

Choose:
(x + 3)(2x - 1) (2x + 1)(x + 3)
(x + 3)(x2 + x - 2) (x - 2)(x + 3)

 

 

8.
Factor completely:   -y2 + 5y + 24

Choose:
-(y - 3)(y + 8) -(y - 8)(y + 3)
(y - 8)(y + 3) (y + 8)(y - 3)

 

 

9.
Factor completely:   49x2 - 36y2

Choose:
(7x + 6y)(7x + 6y) (7x - 6y)(7x - 6y)
(7x + 6y)(7x - 6y) (7x + 4y)(7x - 9y)

 

 

10.
Which choice is NOT equivalent to:
   3(x + 1)2 + 5(x + 1) - 12
Choose:
(3x - 1)(x + 4) (3x + 20)(x + 1)
3x2 + 11x - 4 3(x2 + 2x + 1) + (5x - 7)

 

 

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