1.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
2
abc
B.
2
C.
8
ab
D.
4
Hint
2.
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.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
D.
a
2
b
(20
a
2
b
- 15 + 30
a
)
Hint
3.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 2)(
y
+ 2)
B.
(3
y
+ 1)(
y
+ 4)
C.
(3
y
+ 4)(
y
+ 1)
D.
(3
y
+ 1)(
y
+ 7)
Hint
4.
Factor 2
x
2
+ 4
x
– 3.
A.
(2
x
– 1)(
x
+ 3)
B.
(2
x
+ 3)(
x
– 1)
C.
(2
x
– 3)(
x
+ 1)
D.
prime
Hint
5.
Factor 4
y
2
– 9.
A.
(2
y
+ 3)(2
y
+ 3)
B.
prime
C.
(2
y
+ 3)(2
y
– 3)
D.
(2
y
– 3)(2
y
– 3)
Hint
6.
Factor
x
2
-
y
4
A.
(
x
-
y
2
)(
x
-
y
2
)
B.
(
x
+
y
)(
x
–
y
)
C.
(
x
-
y
2
)(
x
+
y
2
)
D.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
Hint
7.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 0 or
x
= -2
B.
x
= 2
C.
x
= 0 or
x
= 2
D.
x
= 0
Hint
8.
Solve 4
y
2
– 25 = 0.
A.
or
B.
C.
D.
Hint
9.
Find the prime factorization of -198.
A.
–1 · 2 · 3
2
· 10
B.
–1 · 2 · 3
2
· 11
C.
2 · 3
2
· 11
D.
2 · 3
2
· 10
Hint
10.
Factor
x
2
– 4
x
– 32.
A.
(
x
+16)(
x
– 2)
B.
(
x
+ 8)(
x
– 4)
C.
(
x
– 16)(
x
+ 2)
D.
(
x
– 8)(
x
+ 4)
Hint
11.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
4
x
– 20
B.
2
x
C.
4
x
D.
2
x
– 10
Hint
12.
Factor 81
x
2
– 225.
A.
9(9
x
– 25)(9
x
+ 25)
B.
9(3
x
– 5)(3
x
+ 5)
C.
9(9
x
– 5)(9
x
+ 5)
D.
It is prime.
Hint