1.
Find (
c
2
+ 2
c
- 6)(
c
+ 5).
A.
c
3
+ 2
c
2
+ 5
B.
c
3
+ 7
c
2
+ 4
c
- 30
C.
c
3
+ 2
c
2
- 30
D.
c
3
+ 2
c
2
- 6
c
- 30
Hint
2.
Factor 8
a
4
b
- 3
a
b
2
c
.
A.
a
b
c
(8
a
3
- 3
b
)
B.
a
2
b
(8
a
2
- 3
b
c
)
C.
a
b
(8
a
3
- 3
b
c
)
D.
8
a
b
(
a
2
- 3
b
c
)
Hint
3.
Factor
m
3
- 4
m
2
+ 6
m
- 24.
A.
m
(
m
2
- 4
m
+ 6) - 24
B.
m
2
(
m
- 4) + 6
m
- 24
C.
(
m
- 4)(
m
2
+ 6)
D.
(
m
+ 4)(
m
2
- 6)
Hint
4.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 2
x
– 6
B.
11
x
4
– 2
x
2
– 6
C.
11
x
2
– 8
x
– 6
D.
9
x
– 6
Hint
5.
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.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
6.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
10
a
3
+ 4
a
2
B.
14
a
3
+ 2
a
2
C.
2
a
2
+ 10
a
D.
14
a
2
+ 2
a
Hint
7.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 7
x
3
y
B.
9
x
2
y
4
+ 12
x
4
y
3
C.
6
xy
2
+ 4
x
3
y
D.
12
xy
2
+ 4
x
3
y
Hint
8.
Factor 4
y
2
– 3
y
– 1.
A.
(4
y
+ 1)(
y
– 1)
B.
(2
y
+ 1)(2
y
– 1)
C.
prime
D.
(4
y
– 1)(
y
+ 1)
Hint
9.
Factor 6
y
2
+ 22
y
– 8.
A.
2(3
y
– 1)(
y
+ 4)
B.
2(3
y
– 2)(
y
+ 2)
C.
(6
y
– 1)(
y
+ 8)
D.
(2
y
– 4)(3
y
+ 2)
Hint
10.
Factor 7
xy
2
- 28
x
3
A.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
B.
(7
xy
+
x
)(
y
– 28
x
2
)
C.
7
x
2
y
2
(1 +
x
)
D.
prime
Hint
11.
Write an expression for the area of the rectangle.
A.
9
x
2
– 31
x
+ 40
B.
x
3
- 4
x
C.
x
2
- 3
x
+ 13
D.
x
3
+ 4
x
2
– 27
x
+ 40
Hint
12.
Simplify
A.
B.
C.
D.
Hint
13.
Factor 3
ty
3
– 48
ty
.
A.
B.
C.
D.
3
ty
(
y
+ 4)(
y
– 4)
Hint
14.
Factor
x
2
+ 6
x
– 7.
A.
(
x
– 3)(
x
– 3)
B.
(
x
+ 3)(
x
+ 3)
C.
(
x
+ 1)(
x
– 7)
D.
(
x
– 1)(
x
+ 7)
Hint
15.
When factoring quadratic trinomials of the form
x
2
+
b
x
+
c
, what is true about
m
and
n
if the factored form is (
x
+ m)(
x
+
n
)?
A.
Their sum is equal to
c
, and their product is equal to
b
.
B.
The sum of
b
and
c
is equal to the product of m and
n
.
C.
The product of
b
and
c
is equal to the sum of m and
n
.
D.
Their sum is equal to
b
, and their product is equal to
c
.
Hint
16.
Factor 5
xyz
- 5
xyw
- 5
xmz
+ 5
xmw
.
A.
(5
z
-
w
)(
xy
+
xm
)
B.
(
z
-
w
)(
xy
-
xm
)
C.
(
z
+
w
)(5
xy
+ 5
xm
)
D.
(
z
-
w
)(5
xy
- 5
xm
)
Hint
17.
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
18.
What is the coefficient of the fifth term in the polynomial expansion for (
a
+
b
)
5
?
A.
6
B.
3
C.
5
D.
10
Hint