1.
Select the correct factorization.
A.
57
axy
2
= 57 ·
a
·
x
·
y
·
y
·
y
B.
66
ax
3
= 2 · 33 ·
a
·
x
·
x
C.
–49
z
3
b
2
= –1 · 7 · 7 ·
z
·
z
·
b
·
b
D.
52
b
2
c
= 2 · 2 · 13 ·
b
·
b
·
c
Hint
2.
The product of the prime factors common to two integers is called the _____.
A.
least common denominator
B.
prime factorization
C.
composite term
D.
greatest common factor
Hint
3.
Factor the polynomial 6
x
2
+ 2
x
.
A.
3
x
(2
x
+ 1)
B.
3
x
2
(2
x
+ 1)
C.
2
x
2
(3
x
+ 1)
D.
2
x
(3
x
+ 1)
Hint
4.
Factor the trinomial
x
2
+ 13
x
+ 36.
A.
(
x
+ 3)(
x
+ 12)
B.
(
x
+ 6)(
x
+ 6)
C.
(
x
+ 9)(
x
+ 4)
D.
(
x
+ 2)(
x
+ 18)
Hint
5.
Factor the trinomial 10
x
2
+ 13
x
– 3.
A.
(2
x
+ 3)(5
x
– 1)
B.
(2
x
– 1)(5
x
+ 3)
C.
(2
x
– 3)(5
x
+ 1)
D.
prime
Hint
6.
The area of a square is 4
x
2
+ 12
x
+ 9. Find the perimeter.
A.
8
x
+ 3
B.
4
x
– 6
C.
8
x
+ 12
D.
4
x
+ 6
Hint
7.
Factor the binomial
x
2
+ 81.
A.
prime
B.
(
x
+ 9)
2
C.
(
x
– 18)(
x
+ 5)
D.
(
x
– 9)(
x
+ 9)
Hint
8.
Factor the polynomial 3
c
d
2
+ 9
b
3
.
A.
c
(3
d
2
+ 9
b
3
)
B.
3
c
(
d
2
+ 3
b
3
)
C.
3(
c
d
2
+ 3
b
3
)
D.
cannot be factored
Hint
9.
Factor the trinomial
x
2
– 5
x
+ 6.
A.
(
x
+ 3)(
x
– 2)
B.
(
x
+ 6)(
x
– 1)
C.
(
x
– 6)(
x
– 1)
D.
(
x
– 3)(
x
– 2)
Hint
10.
Factor the trinomial 5
c
2
– 7
c
– 24.
A.
(5
c
+ 8)(
c
– 3)
B.
(5
c
– 8)(
c
+ 3)
C.
(5
c
+ 3)(
c
– 8)
D.
(5
c
– 3)(
c
+ 8)
Hint