1.
Factor
m
3
- 4
m
2
+ 6
m
- 24.
A.
m
2
(
m
- 4) + 6
m
- 24
B.
(
m
+ 4)(
m
2
- 6)
C.
(
m
- 4)(
m
2
+ 6)
D.
m
(
m
2
- 4
m
+ 6) - 24
Hint
2.
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
- 12
B.
–3
x
3
–
x
2
+ 5
x
- 12
C.
-11
x
8
+ 4
D.
–3
x
3
– 13
x
2
+ 5
x
+ 4
Hint
3.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
D.
4
xy
2
– 7
xy
– 3
Hint
4.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
B.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
C.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
D.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
Hint
5.
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
2
+ 2
a
C.
14
a
3
+ 2
a
2
D.
2
a
2
+ 10
a
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
(
y
– 2) + 3(
y
– 2)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
(
x
– 2)(
y
+ 3)
Hint
7.
Factor
x
2
+ 5
x
+ 6.
A.
(
x
+ 1)(
x
+ 6)
B.
(
x
+ 1)(
x
+ 5)
C.
(
x
+ 2)(
x
+ 3)
D.
prime
Hint
8.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 4)(
y
+ 1)
B.
(3
y
+ 2)(
y
+ 2)
C.
(3
y
+ 1)(
y
+ 7)
D.
(3
y
+ 1)(
y
+ 4)
Hint
9.
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
10.
Factor
x
2
-
y
4
A.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
B.
(
x
-
y
2
)(
x
-
y
2
)
C.
(
x
-
y
2
)(
x
+
y
2
)
D.
(
x
+
y
)(
x
–
y
)
Hint
11.
Factor 10
x
2
+ 24
x
+ 8.
A.
2(
x
+ 4)(5
x
+ 1)
B.
(2
x
+ 4)(5
x
+ 2)
C.
(
x
+ 2)(5
x
+ 2)
D.
2(
x
+ 2)(5
x
+ 2)
Hint
12.
Write an expression for the area of the rectangle.
A.
x
2
- 3
x
+ 13
B.
9
x
2
– 31
x
+ 40
C.
x
3
- 4
x
D.
x
3
+ 4
x
2
– 27
x
+ 40
Hint
13.
Simplify
A.
B.
C.
D.
Hint
14.
What is the GCF of
A.
3
n
B.
n
C.
p
2
D.
np
Hint
15.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
5
x
2
+ 7
x
– 3
B.
3
x
2
+
x
C.
x
2
+
x
– 3
D.
6
x
2
+ 7
x
– 3
Hint
16.
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
17.
Factor
x
2
+ 8
x
+ 12.
A.
(
x
- 3)(
x
- 4)
B.
(
x
+ 3)(
x
+ 4)
C.
(
x
- 6)(
x
- 2)
D.
(
x
+ 6)(
x
+ 2)
Hint
18.
What is the coefficient of the third term in the polynomial expansion for (
a
+
b
)
4
?
A.
6
B.
5
C.
10
D.
4
Hint