1.
The diagram below shows a model of a factorization of a binomial using algebra tiles. Select the correct factorization shown by the model.
A.
3
x
(
x
+ 3)
B.
3(
x
+ 3)
C.
3
x
(
x
+ 2)
D.
3(
x
+ 2)
Hint
2.
Factor the polynomial 33
x
2
– 3
xz
+ 45
xy
.
A.
3
x
(11
x
– z + 15
y
)
B.
3
x
(11
x
+ 15
y
)
C.
3
x
(11
x
– 1 + 15
y
)
D.
3(11
x
2
–
xz
+ 15
xy
)
Hint
3.
Find the quotient (35
x
2
y
+ 50
xy
2
) ÷ 5
xy
.
A.
7
y
+ 10
x
B.
17
C.
17
xy
D.
7
x
+ 10
y
Hint
4.
Factor the polynomial 3
c
d
2
+ 9
b
3
.
A.
3(
c
d
2
+ 3
b
3
)
B.
3
c
(
d
2
+ 3
b
3
)
C.
c
(3
d
2
+ 9
b
3
)
D.
cannot be factored
Hint
5.
Write an expression in factored form that represents the area of the shaded region.
A.
4(14
fg
+ 5
g
2
)
B.
4(14
fg
+ 6
g
2
)
C.
4
g
(14
f
+ 6
g
)
D.
4
g
(14
f
+ 5
g
)
Hint