1.
Factor -180
x
2
y
2
A.
4 · 9 · 5 ·
x
·
x
·
y
·
y
B.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
C.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
D.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
Hint
2.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
a
2
b
2
c
2
B.
14
ab
2
c
C.
14
a
2
b
4
c
2
D.
56
ab
2
c
Hint
3.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
B.
(2
c
+ 3
d
)(4
a
+ 5
b
)
C.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
D.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
Hint
4.
Factor 4
y
2
– 3
y
– 1.
A.
(2
y
+ 1)(2
y
– 1)
B.
(4
y
+ 1)(
y
– 1)
C.
(4
y
– 1)(
y
+ 1)
D.
prime
Hint
5.
Solve 3
x
2
+ 5 = 8
x
.
A.
or
x
= 1
B.
x
= 5 or
x
= 1
C.
x
= 1
D.
x
= 0
Hint
6.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
2
– 3)
B.
23
x
(
x
+ 3)
C.
23
x
(
x
2
+ 3)
D.
23
x
(
x
– 3)
Hint
7.
Factor
x
2
+ 6
x
– 7.
A.
(
x
+ 1)(
x
– 7)
B.
(
x
+ 3)(
x
+ 3)
C.
(
x
– 3)(
x
– 3)
D.
(
x
– 1)(
x
+ 7)
Hint
8.
Factor
x
2
– 4
x
– 32.
A.
(
x
– 8)(
x
+ 4)
B.
(
x
+16)(
x
– 2)
C.
(
x
– 16)(
x
+ 2)
D.
(
x
+ 8)(
x
– 4)
Hint
9.
Factor 16
b
4
– 36
b
2
.
A.
4
b
2
(2
b
– 3)(2
b
+ 3)
B.
4
b
2
(4
b
– 3)(4
b
+ 3)
C.
2
b
2
(4
b
– 3)(4
b
+ 3)
D.
2
b
2
(2
b
– 3)(2
b
+ 3)
Hint
10.
Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
A.
B.
2 ft.
C.
4 ft.
D.
Hint
11.
Determine whether the trinomial 9
x
2
– 60
x
+ 25 is a perfect square trinomial. If so, factor it.
A.
It is prime.
B.
(3
x
– 5)(3
x
– 5)
C.
(3
x
– 5)(3
x
+ 5)
D.
(3
x
+ 5)(3
x
+ 5)
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{3}
B.
{–3, 3}
C.
{–7}
D.
{–7, 3}
Hint