1.
Which number is
not
a prime number?
A.
31
B.
11
C.
51
D.
7
Hint
2.
The product of the prime factors common to two integers is called the _____.
A.
greatest common factor
B.
prime factorization
C.
composite term
D.
least common denominator
Hint
3.
Factor the polynomial 6
x
2
+ 2
x
.
A.
2
x
(3
x
+ 1)
B.
3
x
2
(2
x
+ 1)
C.
3
x
(2
x
+ 1)
D.
2
x
2
(3
x
+ 1)
Hint
4.
Factor the trinomial 4
x
3
– 24
x
2
– 108
x
.
A.
(
x
– 9)(
x
+ 3)
B.
4
x
(
x
– 9)(
x
+ 3)
C.
4(
x
– 9
x
)(
x
+ 3
x
)
D.
4
x
(
x
2
– 6
x
– 27)
Hint
5.
Factor the binomial
x
2
+ 81.
A.
(
x
+ 9)
2
B.
(
x
– 18)(
x
+ 5)
C.
(
x
– 9)(
x
+ 9)
D.
prime
Hint
6.
Factor the trinomial
x
2
– 11
x
– 42.
A.
(
x
+ 14)(
x
+ 3)
B.
(
x
+ 14)(
x
– 3)
C.
(
x
– 14)(
x
– 3)
D.
(
x
– 14)(
x
+3)
Hint
7.
Divide 36
jk
3
– 42
j
3
k
by 6
jk
.
A.
7
k
– 6
j
2
B.
7jk – 6
j
2
k
C.
6jk – 7
j
2
k
D.
6
k
2
– 7
j
2
Hint
8.
Factor 10
x
2
+ 23
x
+ 6.
A.
(5
x
+ 2)(2
x
+ 3)
B.
(10
x
+ 2)(
x
+ 3)
C.
(10
x
+ 3)(
x
+ 2)
D.
(5
x
+ 3)(2
x
+ 2)
Hint
9.
Which of these represents factoring differences of squares?
A.
a
2
–
b
2
= (
a
–
b
)(
a
+
b
)
B.
a
2
+
b
2
= (
a
–
b
)(
a
+
b
)
C.
a
2
+ 2
a
b
+
b
2
= (
a
+
b
)(
a
+
b
)
D.
a
2
– 2
a
b
+
b
2
= (
a
–
b
)(
a
–
b
)
Hint
10.
Which diagram shows a correct factorization for 5
x
2
- 13
x
- 6?
A.
B.
C.
D.
Hint