1.
Find (3
a
- 1)(5
a
+ 6).
A.
15
a
2
+ 13
a
- 6
B.
15
a
2
+ 13
a
+ 6
C.
15
a
2
- 5
a
- 6
D.
15
a
+ 13
a
-6
Hint
2.
Factor 6
x
3
y
+ 15
x
2
y
2
- 3
x
4
y
.
A.
x
2
y
(6
x
+ 15
y
- 3
x
2
)
B.
x
y
(6
x
2
+ 15
x
y
- 3
x
3
)
C.
3
x
y
(2
x
2
+ 5
x
y
-
x
3
)
D.
3
x
2
y
(2
x
+ 5
y
-
x
2
)
Hint
3.
Factor
m
3
- 4
m
2
+ 6
m
- 24.
A.
(
m
+ 4)(
m
2
- 6)
B.
m
2
(
m
- 4) + 6
m
- 24
C.
(
m
- 4)(
m
2
+ 6)
D.
m
(
m
2
- 4
m
+ 6) - 24
Hint
4.
Find the polynomial that represents the measure of the perimeter of the triangle.
A.
7
xy
2
+ 10
x
– 2
y
B.
7
x
3
y
6
+ 10
x
2
– 2
y
C.
15
xy
2
D.
5
xy
2
+ 10
x
Hint
5.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 4
x
3
y
B.
9
x
2
y
4
+ 12
x
4
y
3
C.
12
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
6.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
5
x
2
+
x
+ 10
B.
15
x
3
+ 32
x
2
+ 34
x
+ 24
C.
8
x
2
- 13
x
+ 24
D.
15
x
3
+ 8
x
2
+ 2
x
+ 24
Hint
7.
Factor 14
x
2
- 28
y
2
+ 56
A.
(2
x
+ 7
y
+ 2)(7
x
- 4
y
+ 2)
B.
14
xy
(
x
- 2
y
+ 4)
C.
14(
x
2
- 2
y
2
+ 4)
D.
14(
x
2
- 14
y
2
+ 42)
Hint
8.
Factor 4
y
2
– 3
y
– 1.
A.
(4
y
+ 1)(
y
– 1)
B.
(4
y
– 1)(
y
+ 1)
C.
(2
y
+ 1)(2
y
– 1)
D.
prime
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.
Determine whether the expression 5
x
3
y
3
–
x
2
y
2
is a polynomial.
A.
No, because there are two terms.
B.
No, because there are two variables.
C.
Yes.
D.
Cannot be determined from given information.
Hint
11.
Factor 3
ty
3
– 48
ty
.
A.
B.
3
ty
(
y
+ 4)(
y
– 4)
C.
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
– 4
x
– 32.
A.
(
x
– 8)(
x
+ 4)
B.
(
x
+ 8)(
x
– 4)
C.
(
x
+16)(
x
– 2)
D.
(
x
– 16)(
x
+ 2)
Hint
14.
Factor 3
x
2
– 8
x
+ 3.
A.
(
x
– 1)(3
x
– 3)
B.
(3
x
– 5)(
x
– 1)
C.
not factorable
D.
(3
x
– 1)(
x
– 3)
Hint
15.
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.
It is prime.
D.
(3
x
– 5)(3
x
+ 5)
Hint
16.
Factor 4
m
2
+ 2
mp
+ 2
mn
+
np
.
A.
(
m
+ 2
p
)(
m
- 2
n
)
B.
(4
m
+ p
p
)(
m
+
n
)
C.
(2
m
+
p
)(2
m
+
n
)
D.
(
m
- 2
p
)(
m
+ 2
n
)
Hint
17.
Factor
x
2
+ 8
x
+ 12.
A.
(
x
+ 6)(
x
+ 2)
B.
(
x
- 6)(
x
- 2)
C.
(
x
- 3)(
x
- 4)
D.
(
x
+ 3)(
x
+ 4)
Hint
18.
What is the coefficient of the last term in the polynomial expansion for (
a
+
b
)
5
?
A.
5
B.
10
C.
6
D.
1
Hint