1.
Factor -180
x
2
y
2
A.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
B.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
C.
4 · 9 · 5 ·
x
·
x
·
y
·
y
D.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
Hint
2.
Factor 54
x
3
y
2
A.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
B.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
C.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
D.
2 · 27 ·
x
·
x
·
x
·
y
·
y
Hint
3.
Factor 4
y
2
– 3
y
– 1.
A.
(4
y
+ 1)(
y
– 1)
B.
(2
y
+ 1)(2
y
– 1)
C.
prime
D.
(4
y
– 1)(
y
+ 1)
Hint
4.
Factor 7
xy
2
- 28
x
3
A.
prime
B.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
C.
(7
xy
+
x
)(
y
– 28
x
2
)
D.
7
x
2
y
2
(1 +
x
)
Hint
5.
Factor
x
2
– 8
x
+ 16.
A.
(
x
- 8)
2
B.
(
x
+ 4)(
x
– 4)
C.
(
x
+ 4)
2
D.
(
x
- 4)
2
Hint
6.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
– 3)
B.
23
x
(
x
2
+ 3)
C.
23
x
(
x
+ 3)
D.
23
x
(
x
2
– 3)
Hint
7.
If the product of two factors is 0, which of the following cannot be true?
A.
One of the factors is 10.
B.
One of the factors is 0.
C.
Both of the factors are 0.
D.
Neither of the factors is 0.
Hint
8.
When factoring quadratic trinomials of the form
x
2
+
b
x
+
c
, what is true about
m
and
n
if the factored form is (
x
+ m)(
x
+
n
)?
A.
Their sum is equal to
c
, and their product is equal to
b
.
B.
The sum of
b
and
c
is equal to the product of m and
n
.
C.
The product of
b
and
c
is equal to the sum of m and
n
.
D.
Their sum is equal to
b
, and their product is equal to
c
.
Hint
9.
Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be?
A.
length = 24 ft
width = 30 ft
B.
length = 15 ft
width = 18 ft
C.
length = 30 ft
width = 24ft
D.
length = 18 ft
wideth = 15ft
Hint
10.
Factor 4
x
2
– 14
x
– 8.
A.
2(2
x
+ 1)(
x
– 4)
B.
(2
x
+ 1)(
x
– 2)
C.
(2
x
+ 1)(
x
– 4)
D.
2(2
x
+ 1)(
x
– 2)
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
(2
b
– 3)(2
b
+ 3)
D.
2
b
2
(4
b
– 3)(4
b
+ 3)
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{3}
B.
{–7, 3}
C.
{–7}
D.
{–3, 3}
Hint