1.
The measure of the volume of a rectangular prism is 12
x
3
+ 22
x
2
– 20
x
. What are possible dimensions of the prism?
A.
2
x
, 6
x
+ 2,
x
– 5
B.
2
x
, 2
x
– 5, 3
x
+ 2
C.
2
x
,
x
+ 5, 6
x
– 2
D.
2
x
, 2
x
+ 5, 3
x
– 2
Hint
2.
Factor the trinomial 5
c
2
– 7
c
– 24.
A.
(5
c
– 8)(
c
+ 3)
B.
(5
c
– 3)(
c
+ 8)
C.
(5
c
+ 3)(
c
– 8)
D.
(5
c
+ 8)(
c
– 3)
Hint
3.
Factor 6
x
2
+ 13
x
+ 5.
A.
(6
x
+ 1)(
x
+ 5)
B.
(3
x
+ 5)(2
x
+ 1)
C.
(6
x
+ 5)(
x
+ 1)
D.
(3
x
+ 1)(2
x
+ 5)
Hint
4.
The volume of a rectangular box is 30
x
3
– 11
x
2
– 2
x
cubic units. What are the possible dimensions of the box?
A.
2
x
by (5
x
– 1) by (6
x
+ 2)
B.
x
by (2
x
– 1) by (15
x
+ 2)
C.
2
x
by (
x
– 2) by (30
x
+ 1)
D.
x
by (3
x
– 2) by (10
x
+ 1)
Hint
5.
Which diagram shows a correct factorization for 5
x
2
- 13
x
- 6?
A.
B.
C.
D.
Hint