1.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
8
ab
B.
2
C.
4
D.
2
abc
Hint
2.
Factor 3
x
3
+ 2
x
2
y
+ 3
xy
2
+ 2
y
3
A.
(3
x
+ 2
y
)(
x
+
y
)(
x
-
y
)
B.
x
2
(3
x
+ 2
y
) +
y
2
(3
x
+ 2
y
)
C.
(
x
2
+
y
2
)(3
x
+ 2
y
)
D.
xy
(3
x
2
+ 2
x
+ 3
y
+ 2
y
2
)
Hint
3.
Factor 2
x
2
+ 4
x
– 3.
A.
prime
B.
(2
x
+ 3)(
x
– 1)
C.
(2
x
– 1)(
x
+ 3)
D.
(2
x
– 3)(
x
+ 1)
Hint
4.
Factor 4
y
2
– 9.
A.
prime
B.
(2
y
+ 3)(2
y
+ 3)
C.
(2
y
– 3)(2
y
– 3)
D.
(2
y
+ 3)(2
y
– 3)
Hint
5.
Factor 7
xy
2
- 28
x
3
A.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
B.
7
x
2
y
2
(1 +
x
)
C.
(7
xy
+
x
)(
y
– 28
x
2
)
D.
prime
Hint
6.
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
7.
Is 79 prime or composite? If it is composite, what is its factorization?
A.
prime
B.
composite, 7 × 11
C.
composite, 3 × 23
D.
composite, 13 × 6
Hint
8.
Factor
x
2
– 7
x
+ 12.
A.
(
x
+ 6)(
x
+ 2)
B.
(
x
– 3)(
x
– 4)
C.
(
x
– 6)(
x
– 2)
D.
(
x
+ 3)(
x
+ 4)
Hint
9.
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
10.
Factor 5
x
2
+ 13
x
– 6.
A.
(5
x
+ 2)(
x
– 3)
B.
(5
x
– 2)(
x
+ 3)
C.
not factorable
D.
(5
x
+ 3)(
x
– 2)
Hint
11.
Factor 81
x
2
– 225.
A.
It is prime.
B.
9(3
x
– 5)(3
x
+ 5)
C.
9(9
x
– 5)(9
x
+ 5)
D.
9(9
x
– 25)(9
x
+ 25)
Hint
12.
Solve the following:
y
2
+ 6
y
+ 9 = 49.
A.
{7, –7}
B.
{–10, 4}
C.
{7}
D.
{10, –4}
Hint