1.
Factor
xy
– 6 + 2
y
– 3
x
.
A.
(
xy
– 3
x
) + (2
y
– 6)
B.
(
x
– 2)(
y
– 3)
C.
x(y
– 3) + 2(
y
– 3)
D.
(
x
+ 2)(
y
– 3)
Hint
2.
Factor 3
x
3
+ 2
x
2
y
+ 3
xy
2
+ 2
y
3
A.
x
2
(3
x
+ 2
y
) +
y
2
(3
x
+ 2
y
)
B.
(3
x
+ 2
y
)(
x
+
y
)(
x
-
y
)
C.
xy
(3
x
2
+ 2
x
+ 3
y
+ 2
y
2
)
D.
(
x
2
+
y
2
)(3
x
+ 2
y
)
Hint
3.
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.
(
x
– 2)(
y
+ 3)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
x
(
y
– 2) + 3(
y
– 2)
Hint
4.
Factor 4
m
2
+ 2
mp
+ 2
mn
+
np
.
A.
(
m
- 2
p
)(
m
+ 2
n
)
B.
(
m
+ 2
p
)(
m
- 2
n
)
C.
(4
m
+ p
p
)(
m
+
n
)
D.
(2
m
+
p
)(2
m
+
n
)
Hint
5.
Factor 5
xyz
- 5
xyw
- 5
xmz
+ 5
xmw
.
A.
(
z
-
w
)(5
xy
- 5
xm
)
B.
(
z
-
w
)(
xy
-
xm
)
C.
(
z
+
w
)(5
xy
+ 5
xm
)
D.
(5
z
-
w
)(
xy
+
xm
)
Hint