1.
Factor -180
x
2
y
2
A.
4 · 9 · 5 ·
x
·
x
·
y
·
y
B.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
C.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
D.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
Hint
2.
Factor 6
y
2
+ 22
y
– 8.
A.
(2
y
– 4)(3
y
+ 2)
B.
2(3
y
– 2)(
y
+ 2)
C.
(6
y
– 1)(
y
+ 8)
D.
2(3
y
– 1)(
y
+ 4)
Hint
3.
Factor
x
2
– 16.
A.
(
x
+ 2)(
x
– 8)
B.
(
x
+ 4)(
x
– 4)
C.
(
x
+ 4)(
x
+ 4)
D.
(
x
– 4)(
x
– 4)
Hint
4.
Factor
x
2
– 8
x
+ 16.
A.
(
x
+ 4)(
x
– 4)
B.
(
x
- 4)
2
C.
(
x
+ 4)
2
D.
(
x
- 8)
2
Hint
5.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 0
B.
x
= 2
C.
x
= 0 or
x
= -2
D.
x
= 0 or
x
= 2
Hint
6.
Is 57 prime or composite? If it is composite, what is its factorization?
A.
composite, 3 × 17
B.
composite, 3 × 19
C.
composite, 2 × 29
D.
prime
Hint
7.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
2
– 3)
B.
23
x
(
x
– 3)
C.
23
x
(
x
2
+ 3)
D.
23
x
(
x
+ 3)
Hint
8.
Factor
x
2
– 7
x
+ 12.
A.
(
x
– 6)(
x
– 2)
B.
(
x
+ 3)(
x
+ 4)
C.
(
x
+ 6)(
x
+ 2)
D.
(
x
– 3)(
x
– 4)
Hint
9.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
2
x
– 10
B.
2
x
C.
4
x
D.
4
x
– 20
Hint
10.
Solve –3
x
2
+ 5
x
+ 12 = 0.
A.
B.
C.
D.
Hint
11.
Factor 16
b
4
– 36
b
2
.
A.
4
b
2
(2
b
– 3)(2
b
+ 3)
B.
4
b
2
(4
b
– 3)(4
b
+ 3)
C.
2
b
2
(4
b
– 3)(4
b
+ 3)
D.
2
b
2
(2
b
– 3)(2
b
+ 3)
Hint
12.
Factor 81
x
2
– 225.
A.
9(3
x
– 5)(3
x
+ 5)
B.
9(9
x
– 25)(9
x
+ 25)
C.
9(9
x
– 5)(9
x
+ 5)
D.
It is prime.
Hint