1.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
14
a
2
b
4
c
2
B.
56
ab
2
c
C.
56
a
2
b
2
c
2
D.
14
ab
2
c
Hint
2.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
2
abc
B.
8
ab
C.
2
D.
4
Hint
3.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
B.
5
ab
(4
a
3
b
- 3 + 6
a
)
C.
a
2
b
(20
a
2
b
- 15 + 30
a
)
D.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
Hint
4.
Factor 4
y
2
– 3
y
– 1.
A.
(4
y
– 1)(
y
+ 1)
B.
(4
y
+ 1)(
y
– 1)
C.
(2
y
+ 1)(2
y
– 1)
D.
prime
Hint
5.
Factor
r
4
– 81.
A.
prime
B.
(
r
+ 3)
2
(
r
+ 3)
2
C.
(
r
2
+ 9)(
r
2
+ 9)
D.
(
r
2
+ 9)(
r
+ 3)(
r
- 3)
Hint
6.
Which of the following trinomials is a perfect square trinomial?
A.
9
a
2
- 12
a
+ 4
B.
4
y
2
+ 10
y
+ 25
C.
x
2
+ 16
x
+ 16
D.
r
2
- 6
r
+ 36
Hint
7.
Solve
a
2
– 12
a
= -27.
A.
a
= 3
B.
a
= 3 or
a
= 9
C.
a
= 9
D.
a
= -27 or
a
= -15
Hint
8.
Solve 3
x
2
+ 5 = 8
x
.
A.
x
= 1
B.
x
= 5 or
x
= 1
C.
or
x
= 1
D.
x
= 0
Hint
9.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
2
– 3)
B.
23
x
(
x
2
+ 3)
C.
23
x
(
x
+ 3)
D.
23
x
(
x
– 3)
Hint
10.
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
11.
Solve 27
x
3
= 147
x
.
A.
B.
C.
D.
Hint
12.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint