1.
Factor the trinomial 4
x
3
– 24
x
2
– 108
x
.
A.
4
x
(
x
– 9)(
x
+ 3)
B.
4
x
(
x
2
– 6
x
– 27)
C.
(
x
– 9)(
x
+ 3)
D.
4(
x
– 9
x
)(
x
+ 3
x
)
Hint
2.
Refer to the diagram. A city park will use a portion of the park for a garden. The shaded region will be the area of the park without the garden. Express the area of the shaded region in factored form.
A.
(
x
+ 3)(
x
– 5)
B.
2(
x
– 3)(
x
+ 5)
C.
2(
x
2
– 2
x
– 15)
D.
2(
x
+ 3)(
x
– 5)
Hint
3.
Factor the trinomial
x
2
+ 7
x
– 8.
A.
(
x
+ 8)(
x
– 1)
B.
(
x
– 8)(
x
+ 1)
C.
(
x
– 4)(
x
+ 2)
D.
(
x
+ 4)(
x
– 2)
Hint
4.
Factor 3
x
2
– 10
x
y
– 8
y
2
.
A.
(3
x
– 2
y
)(
x
– 4
y
)
B.
(
x
+ 2
y
)(3
x
– 4
y
)
C.
(
x
– 2
y
)(3
x
– 4
y
)
D.
(3
x
+ 2
y
)(
x
– 4
y
)
Hint
5.
Find the area of the surface of the table. Express the answer in factored form.
A.
(
x
– 10)(
x
– 4) ft
2
B.
(
x
– 10)(
x
+ 4) ft
2
C.
(
x
+ 10)(
x
– 4) ft
2
D.
(
x
+ 10)(
x
+ 4) ft
2
Hint