1.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
ab
2
c
B.
14
a
2
b
4
c
2
C.
56
a
2
b
2
c
2
D.
14
ab
2
c
Hint
2.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
B.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
C.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
D.
(2
c
+ 3
d
)(4
a
+ 5
b
)
Hint
3.
Factor
x
2
– 16.
A.
(
x
+ 2)(
x
– 8)
B.
(
x
+ 4)(
x
+ 4)
C.
(
x
– 4)(
x
– 4)
D.
(
x
+ 4)(
x
– 4)
Hint
4.
Solve 4
y
2
– 25 = 0.
A.
or
B.
C.
D.
Hint
5.
Is 57 prime or composite? If it is composite, what is its factorization?
A.
composite, 2 × 29
B.
composite, 3 × 17
C.
prime
D.
composite, 3 × 19
Hint
6.
If the product of two factors is 0, which of the following cannot be true?
A.
One of the factors is 10.
B.
One of the factors is 0.
C.
Both of the factors are 0.
D.
Neither of the factors is 0.
Hint
7.
Factor
x
2
+ 6
x
– 7.
A.
(
x
+ 3)(
x
+ 3)
B.
(
x
– 1)(
x
+ 7)
C.
(
x
+ 1)(
x
– 7)
D.
(
x
– 3)(
x
– 3)
Hint
8.
What are two consecutive numbers whose product is 132?
A.
6 and 22
B.
11 and 12
C.
10 and 11
D.
12 and 13
Hint
9.
Factor 5
x
2
+ 13
x
– 6.
A.
(5
x
+ 2)(
x
– 3)
B.
(5
x
+ 3)(
x
– 2)
C.
(5
x
– 2)(
x
+ 3)
D.
not factorable
Hint
10.
Factor 3
x
2
– 8
x
+ 3.
A.
not factorable
B.
(3
x
– 5)(
x
– 1)
C.
(
x
– 1)(3
x
– 3)
D.
(3
x
– 1)(
x
– 3)
Hint
11.
Factor 81
x
2
– 225.
A.
9(3
x
– 5)(3
x
+ 5)
B.
It is prime.
C.
9(9
x
– 25)(9
x
+ 25)
D.
9(9
x
– 5)(9
x
+ 5)
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{–7}
B.
{–3, 3}
C.
{3}
D.
{–7, 3}
Hint