1.
Factor 12
a
2
b
+ 30
ab
2
A.
6
ab
(2
a
+ 5
b
)
B.
ab
(12
a
+ 30
b
)
C.
6
ab
(6
a
+ 24
b
)
D.
6(2
a
2
b
+ 5
ab
2
)
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.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
B.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
C.
(2
c
+ 3
d
)(4
a
+ 5
b
)
D.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
Hint
4.
Factor 3
x
3
+ 2
x
2
y
+ 3
xy
2
+ 2
y
3
A.
(
x
2
+
y
2
)(3
x
+ 2
y
)
B.
xy
(3
x
2
+ 2
x
+ 3
y
+ 2
y
2
)
C.
x
2
(3
x
+ 2
y
) +
y
2
(3
x
+ 2
y
)
D.
(3
x
+ 2
y
)(
x
+
y
)(
x
-
y
)
Hint
5.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
x
(
y
– 2) + 3(
y
– 2)
B.
(
x
+ 3)(
y
– 2)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
(
x
– 2)(
y
+ 3)
Hint