1.
Simplify 6
g
(-3
h
- 4).
A.
-18
g
h
- 24
g
B.
-18
g
- 4
C.
6
g
h
- 4
D.
-18
g
h
- 4
Hint
2.
Find (
x
+ 3)(
x
- 5).
A.
x
2
- 2
x
- 15
B.
x
2
+ 2
x
- 15
C.
x
2
+ 8
x
- 15
D.
x
2
- 15
Hint
3.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
14
ab
2
c
B.
14
a
2
b
4
c
2
C.
56
ab
2
c
D.
56
a
2
b
2
c
2
Hint
4.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
4
B.
8
ab
C.
2
D.
2
abc
Hint
5.
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.
(
x
– 2)(
y
+ 3)
D.
(
xy
– 2
x
)( 3
y
– 6)
Hint
6.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 4)(
y
+ 1)
B.
(3
y
+ 1)(
y
+ 4)
C.
(3
y
+ 1)(
y
+ 7)
D.
(3
y
+ 2)(
y
+ 2)
Hint
7.
Factor
x
2
– 8
x
+ 16.
A.
(
x
- 4)
2
B.
(
x
+ 4)(
x
– 4)
C.
(
x
- 8)
2
D.
(
x
+ 4)
2
Hint
8.
Determine whether the expression 5
x
3
y
3
–
x
2
y
2
is a polynomial.
A.
Yes.
B.
No, because there are two terms.
C.
No, because there are two variables.
D.
Cannot be determined from given information.
Hint
9.
Determine whether the expression
x
+
y
+
z
is a monomial, binomial, or trinomial.
A.
trinomial
B.
monomial
C.
Cannot be determined from given information.
D.
binomial
Hint
10.
Factor 3
ty
3
– 48
ty
.
A.
B.
3
ty
(
y
+ 4)(
y
– 4)
C.
D.
Hint
11.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 7
x
+ 8
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
4
– 7
x
3
+ 8
x
2
Hint
12.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 5
B.
6
x
2
+ 5
x
– 6
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 9
x
– 6
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
mn
- 2
m
- 4
n
+ 8.
A.
(
n
+ 2)(
m
+ 4)
B.
(
n
- 2)(
m
+ 4)
C.
(
n
+ 2)(
m
- 4)
D.
(
n
- 2)(
m
- 4)
Hint
15.
Factor
x
2
- 7
x
+ 12.
A.
(
x
+ 3)(
x
+ 4)
B.
(
x
- 6)(
x
- 2)
C.
(
x
- 3)(
x
- 4)
D.
(
x
+ 6)(
x
+ 2)
Hint
16.
What is the coefficient of the third term in the polynomial expansion for (
a
+
b
)
5
?
A.
10
B.
5
C.
6
D.
4
Hint
17.
What is the coefficient of the third term in the polynomial expansion for (
a
+
b
)
4
?
A.
6
B.
5
C.
4
D.
10
Hint
18.
Factor 6
x
2
- 5
x
- 21.
A.
(2
x
+ 3)(3
x
- 7)
B.
(
x
- 3)(6
x
+ 7)
C.
(6
x
+ 3)(
x
+ 7)
D.
(2
x
- 3)(3
x
- 7)
Hint