Practice Page
Directions: Answer these questions pertaining to factoring. Only completely factored answers are deemed as correct. The cartoon people may, or may not, be helpful!!

1.
Factor completely:   x2 + 9x + 14

Choose:
(x + 7)(x + 2) (x - 2)(x - 7)
(x + 14)(x + 1) (x - 14)(x - 1)
pic1

 

 

2.
Factor completely:   x2 - 3x - 10
Choose:
(x + 2)(x - 5) (x - 2)(x - 5)
(x - 2)(x + 5) (x - 10)(x + 1)
pic3

 

 

3.
Factor completely:    y2 - 18y + 80
Choose:
(y + 8)(y - 10) (y + 5)(y - 16)
(y - 5)(y - 16) (y - 8)(y - 10)
pic5

 

 

4.
Factor completely:   x2 - 20x + 100

Choose:
(x + 10)(x - 10) (x - 10)2
(x + 10)2 (x - 20)(x - 5)
pic6

 

 

5.
Factor completely:   x2 + 2bx + b2

Choose:
(x - b)2 (x - b)(x + b)
(x - 2b)(x + b) (x + b)2
pic7

 

 

6.
Factor completely:   2x3 - 14x2 + 24x

Choose:
x(2x - 8)(x - 3) (2x2 - 8x)(x - 3)
2x(x + 4)(x + 3) 2x(x - 4)(x - 3)
pic2

 

 

7.
Factor completely:   ax2 - 3ax - 54a

Choose:
a(x2 - 3x - 54) x(a2 - 3a - 54)
a(x + 6)(x - 9) x(a + 6)(a - 9)
pic4

 

 

8.
Factor completely:   m2 - 12m + 36

Choose:
(m + 6)(m - 6) (m - 6)2
(m + 6)2 (m - 12)(m + 3)
pic8

 

 

9.
Factor completely:   x2 - 6x - 19
Choose:
(x - 19)(x + 1) (x - 3)(x + 2)
(x + 19)(x - 1) prime (no integer factors)
pic9

 

 

10.
Factor completely:   -m2 + 18m - 45

Choose:
-(m - 3)(m + 15) -(m + 3)(m + 15)
-(m - 3)(m - 15) (m - 3)(m - 15)
pic10

 

 

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