1.
Find
f
(4) for
f
(
x
) =
x
3
- 2
x
2
+ 3
x
- 7.
A.
11
B.
37
C.
2
D.
1
Hint
2.
One of the factors of
x
3
- 7
x
+ 6 is
x
- 1. Which of the following is one of the other factors?
A.
x
- 3
B.
x
- 2
C.
x
- 6
D.
x
+ 1
Hint
3.
What must be true in order for a term
x
–
a
to be a factor of a polynomial
f
(
x
)?
A.
f
(
a
) = 0
B.
f
(
a
) must be negative
C.
f
(
a
) must be positive
D.
a
must be positive
Hint
4.
What is the height of a computer whose base is
x
2
+ 4
x
+ 4 and whose volume is
x
3
+ 3
x
2
– 4?
A.
x
– 1
B.
x
+ 2
C.
x
+ 1
D.
(
x
– 1)(
x
+ 2)
Hint
5.
If a binomial
x
–
a
divides a polynomial, what must be true in order for it to be a factor of the polynomial?
A.
It must divide the polynomial in half.
B.
The remainder must be 0.
C.
The polynomial must be at least of degree three.
D.
There cannot be any other factor
x
–
a
.
Hint