1.
Find (
c
2
+ 2
c
- 6)(
c
+ 5).
A.
c
3
+ 2
c
2
- 6
c
- 30
B.
c
3
+ 2
c
2
+ 5
C.
c
3
+ 7
c
2
+ 4
c
- 30
D.
c
3
+ 2
c
2
- 30
Hint
2.
Find the area of the parallelogram.
A.
(12
a
2
+ 14
b
2
) cm
2
B.
(36
a
2
+ 49
b
2
) cm
2
C.
(36
a
2
- 84
a
b
- 49
b
2
) cm
2
D.
(36
a
2
- 49
b
2
) cm
2
Hint
3.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
–3
x
3
– 13
x
2
+ 5
x
+ 4
B.
–3
x
3
–
x
2
+ 5
x
- 12
C.
–3
x
3
– 13
x
2
+ 5
x
- 12
D.
-11
x
8
+ 4
Hint
4.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
5.
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
6.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
(
x
+ 3)(
y
– 2)
B.
(
x
– 2)(
y
+ 3)
C.
x
(
y
– 2) + 3(
y
– 2)
D.
(
xy
– 2
x
)( 3
y
– 6)
Hint
7.
Factor 6
y
2
+ 22
y
– 8.
A.
(2
y
– 4)(3
y
+ 2)
B.
(6
y
– 1)(
y
+ 8)
C.
2(3
y
– 1)(
y
+ 4)
D.
2(3
y
– 2)(
y
+ 2)
Hint
8.
Factor
x
2
– 16.
A.
(
x
+ 4)(
x
– 4)
B.
(
x
+ 2)(
x
– 8)
C.
(
x
– 4)(
x
– 4)
D.
(
x
+ 4)(
x
+ 4)
Hint
9.
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
10.
What is the GCF of
A.
3
n
B.
p
2
C.
np
D.
n
Hint
11.
Factor 4
x
2
– 5
x
– 6.
A.
B.
C.
(4
x
+ 3)(
x
– 2)
D.
Hint
12.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
6
k
3
+ 4
k
2
– 5
k
B.
–6
k
3
+ 4
k
2
+ 27
k
C.
6
k
3
+ 4
k
2
+ 27
k
D.
–6
k
3
+ 4
k
2
– 5
k
Hint
13.
Factor
x
2
– 7
x
+ 12.
A.
(
x
– 3)(
x
– 4)
B.
(
x
– 6)(
x
– 2)
C.
(
x
+ 6)(
x
+ 2)
D.
(
x
+ 3)(
x
+ 4)
Hint
14.
Determine whether the trinomial 9
x
2
– 60
x
+ 25 is a perfect square trinomial. If so, factor it.
A.
(3
x
+ 5)(3
x
+ 5)
B.
(3
x
– 5)(3
x
+ 5)
C.
(3
x
– 5)(3
x
– 5)
D.
It is prime.
Hint
15.
What is the area a triangle if
b
= 2
y
and
h
= 3
x
+ 5?
A.
3
xy
+ 5
B.
6
xy
+ 10
y
C.
3
xy
+ 5
y
D.
Hint
16.
Factor 5
xyz
- 5
xyw
- 5
xmz
+ 5
xmw
.
A.
(
z
+
w
)(5
xy
+ 5
xm
)
B.
(
z
-
w
)(
xy
-
xm
)
C.
(
z
-
w
)(5
xy
- 5
xm
)
D.
(5
z
-
w
)(
xy
+
xm
)
Hint
17.
Factor
x
2
- 7
x
+ 12.
A.
(
x
+ 6)(
x
+ 2)
B.
(
x
- 3)(
x
- 4)
C.
(
x
+ 3)(
x
+ 4)
D.
(
x
- 6)(
x
- 2)
Hint
18.
What is the coefficient of the second term in the polynomial expansion for (
a
+
b
)
3
?
A.
3
B.
5
C.
2
D.
4
Hint