1.
Factor 14
x
2
- 28
y
2
+ 56
A.
14(
x
2
- 14
y
2
+ 42)
B.
14
xy
(
x
- 2
y
+ 4)
C.
(2
x
+ 7
y
+ 2)(7
x
- 4
y
+ 2)
D.
14(
x
2
- 2
y
2
+ 4)
Hint
2.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
5
ab
(4
a
3
b
- 3 + 6
a
)
B.
a
2
b
(20
a
2
b
- 15 + 30
a
)
C.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
D.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
Hint
3.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
(2
c
+ 3
d
)(4
a
+ 5
b
)
B.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
C.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
D.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
Hint
4.
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.
(
xy
– 2
x
)( 3
y
– 6)
C.
x
(
y
– 2) + 3(
y
– 2)
D.
(
x
– 2)(
y
+ 3)
Hint
5.
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.
Neither of the factors is 0.
D.
Both of the factors are 0.
Hint