1.
Find the GCF of 36
a
2
b
and 81
ab
2
.
A.
3
a
2
b
B.
3
ab
C.
12
ab
D.
9
ab
Hint
2.
Factor the polynomial 33
x
2
– 3
xz
+ 45
xy
.
A.
3(11
x
2
–
xz
+ 15
xy
)
B.
3
x
(11
x
– 1 + 15
y
)
C.
3
x
(11
x
+ 15
y
)
D.
3
x
(11
x
– z + 15
y
)
Hint
3.
Factor the trinomial
x
2
+ 13
x
+ 36.
A.
(
x
+ 6)(
x
+ 6)
B.
(
x
+ 2)(
x
+ 18)
C.
(
x
+ 9)(
x
+ 4)
D.
(
x
+ 3)(
x
+ 12)
Hint
4.
Factor the trinomial 4
x
3
– 24
x
2
– 108
x
.
A.
(
x
– 9)(
x
+ 3)
B.
4(
x
– 9
x
)(
x
+ 3
x
)
C.
4
x
(
x
2
– 6
x
– 27)
D.
4
x
(
x
– 9)(
x
+ 3)
Hint
5.
Factor the trinomial 5
x
2
– 7
x
+ 2.
A.
(5
x
– 1)(
x
+ 2)
B.
(5
x
– 2)(
x
+ 1)
C.
(5
x
– 2)(
x
– 1)
D.
prime
Hint
6.
Select the trinomial that is
not
a perfect square trinomial.
A.
9
x
2
– 6
x
+ 1
B.
x
2
+ 8
x
+ 16
C.
25
x
2
+ 40
x
+ 16
D.
x
2
+ 9
x
+ 3
Hint
7.
Factor the monomial 15
x
2
y
2
z
3
.
A.
15 ·
x
·
y
·
z
·
z
B.
3 · 5 ·
x
·
y
·
z
·
z
C.
3 · 5 ·
x
·
x
·
y
·
y
·
z
·
z
·
z
D.
15 ·
x
·
x
·
y
·
y
·
z
·
z
·
z
Hint
8.
Factor the polynomial 3
c
d
2
+ 9
b
3
.
A.
3(
c
d
2
+ 3
b
3
)
B.
3
c
(
d
2
+ 3
b
3
)
C.
c
(3
d
2
+ 9
b
3
)
D.
cannot be factored
Hint
9.
Factor the trinomial 5
c
2
– 7
c
– 24.
A.
(5
c
+ 3)(
c
– 8)
B.
(5
c
– 8)(
c
+ 3)
C.
(5
c
+ 8)(
c
– 3)
D.
(5
c
– 3)(
c
+ 8)
Hint
10.
Which of these represents factoring differences of squares?
A.
a
2
– 2
a
b
+
b
2
= (
a
–
b
)(
a
–
b
)
B.
a
2
+ 2
a
b
+
b
2
= (
a
+
b
)(
a
+
b
)
C.
a
2
+
b
2
= (
a
–
b
)(
a
+
b
)
D.
a
2
–
b
2
= (
a
–
b
)(
a
+
b
)
Hint