1.
Find the GCF of 36
a
2
b
and 81
ab
2
.
A.
3
ab
B.
9
ab
C.
3
a
2
b
D.
12
ab
Hint
2.
Factor the polynomial 6
x
2
+ 2
x
.
A.
2
x
(3
x
+ 1)
B.
3
x
(2
x
+ 1)
C.
2
x
2
(3
x
+ 1)
D.
3
x
2
(2
x
+ 1)
Hint
3.
Which diagram shows a correct factorization for 3
x
2
+ 22
x
+ 24?
A.
B.
C.
D.
Hint
4.
Factor the trinomial
x
2
– 11
x
– 42.
A.
(
x
+ 14)(
x
+ 3)
B.
(
x
– 14)(
x
– 3)
C.
(
x
+ 14)(
x
– 3)
D.
(
x
– 14)(
x
+3)
Hint
5.
Which factor tree best represents 468?
A.
B.
C.
D.
Hint
6.
Factor the polynomial 3
c
d
2
+ 9
b
3
.
A.
c
(3
d
2
+ 9
b
3
)
B.
cannot be factored
C.
3
c
(
d
2
+ 3
b
3
)
D.
3(
c
d
2
+ 3
b
3
)
Hint
7.
Factor the trinomial
x
2
– 2
x
– 15.
A.
(
x
– 2)(
x
– 7)
B.
(
x
– 5)(
x
– 3)
C.
(
x
– 5)(
x
+ 3)
D.
(
x
– 2)(
x
+ 7)
Hint
8.
Factor 10
x
2
+ 23
x
+ 6.
A.
(5
x
+ 3)(2
x
+ 2)
B.
(10
x
+ 3)(
x
+ 2)
C.
(10
x
+ 2)(
x
+ 3)
D.
(5
x
+ 2)(2
x
+ 3)
Hint
9.
Factor the trinomial 4
x
2
+ 12
x
+ 9.
A.
(2
x
+ 3)(3
x
+ 2)
B.
(2
x
+ 3)
2
C.
(2
x
+ 3)(2
x
– 3)
D.
(2
x
– 3)
2
Hint
10.
The area of a square is
x
2
– 16
x
+ 64 square units. Find the perimeter.
A.
(4
x
– 32) units
B.
(
x
– 8) units
C.
(4
x
+ 32) units
D.
(
x
+ 8) units
Hint