1.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
4
B.
8
ab
C.
2
D.
2
abc
Hint
2.
Factor 4
y
2
– 3
y
– 1.
A.
(2
y
+ 1)(2
y
– 1)
B.
prime
C.
(4
y
+ 1)(
y
– 1)
D.
(4
y
– 1)(
y
+ 1)
Hint
3.
Factor
A.
B.
C.
prime
D.
Hint
4.
Factor 10
x
2
+ 24
x
+ 8.
A.
2(
x
+ 4)(5
x
+ 1)
B.
(
x
+ 2)(5
x
+ 2)
C.
2(
x
+ 2)(5
x
+ 2)
D.
(2
x
+ 4)(5
x
+ 2)
Hint
5.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 0 or
x
= 2
B.
x
= 2
C.
x
= 0
D.
x
= 0 or
x
= -2
Hint
6.
Find the prime factorization of -198.
A.
2 · 3
2
· 10
B.
–1 · 2 · 3
2
· 11
C.
2 · 3
2
· 11
D.
–1 · 2 · 3
2
· 10
Hint
7.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
– 3)
B.
23
x
(
x
2
– 3)
C.
23
x
(
x
+ 3)
D.
23
x
(
x
2
+ 3)
Hint
8.
Factor
x
2
– 7
x
+ 12.
A.
(
x
+ 3)(
x
+ 4)
B.
(
x
– 3)(
x
– 4)
C.
(
x
+ 6)(
x
+ 2)
D.
(
x
– 6)(
x
– 2)
Hint
9.
Factor
x
2
+ 6
x
– 7.
A.
(
x
– 3)(
x
– 3)
B.
(
x
+ 1)(
x
– 7)
C.
(
x
+ 3)(
x
+ 3)
D.
(
x
– 1)(
x
+ 7)
Hint
10.
Factor 3
x
2
– 8
x
+ 3.
A.
(3
x
– 5)(
x
– 1)
B.
not factorable
C.
(3
x
– 1)(
x
– 3)
D.
(
x
– 1)(3
x
– 3)
Hint
11.
Solve 27
x
3
= 147
x
.
A.
B.
C.
D.
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{–7}
B.
{–7, 3}
C.
{–3, 3}
D.
{3}
Hint