Practice Page
Directions: Answer these questions pertaining to common factors and factoring. Read carefully!
1.
Which choice is not a common factor of
8x2 and 32x ?

Choose:
8 8x
16 4x

 

 

2.
Factor completely: 12x + 48
Choose:
6x(2x - 8) 12(x + 4)
6(x + 8) 2(6x - 24)

 

 

3.
Factor completely:   10x3 - 15x2

Choose:
10x2(x - 5) 5x2(2x + 3)
10x(x2 - 5x) 5x2(2x - 3)

 

 

4.
Factor completely:   -12y2 + 72y

Choose:
-12y(y - 6) -12y(y + 6)
-3y(y - 24) -3y(y + 24)

 

 

5.
Factor completely:    y4 + y2
Choose:
y2(y2 + y) y2 (y2 + 1)
y2(y + 1) y4 (y + 1)

 

 

6.
Factor completely:   (x + 2)(x + 1) + (x + 2)(x + 4)

Choose:
(x + 2)(x + 4) (x + 2)(2x + 5)
(2x + 3)(2x + 5) 2(x + 2)(x + 5)

 

 

7.
If 3a is one factor of 3a2 - 12a, what is the other factor?

Choose:
3a a2 - 9a
a - 4 a + 4

 

 

8.
Which choice is not equivalent to:   36m2 - 24m

Choose:
m(36m - 24) 6m(6m - 3)
12m(3m - 2) 3m(12m - 8)

 

 

9.
Factor completely:   (2x - 1)(x - 1) - (x + 2)(2x - 1)
Choose:
-3(2x - 1) (2x - 1)(2x + 1)
(2x - 1)(2x - 3) (2x - 1)(x - 3)

 

 

10.
If the area of a rectangular picture frame is represented by 9m2 + 15m, and the width is represented by 3m, which choice represents the length?

Choose:
m + 5 3m + 5
3m(m +5) 3(m + 5)

 

 

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