1.
Divide
x
4
+ 2
x
2
- 1 by
x
- 1 using synthetic division. The result of synthetic division is ____.
A.
1 1 3 3 | 2
B.
1 3 1 3 | 2
C.
1 3 1 3 | -2
D.
1 1 3 3 | -2
Hint
2.
If you divide a polynomial by the factor
x
+ 6 and a remainder of zero results, which conclusion is true?
A.
x
+ 6 is not a factor of the polynomial.
B.
x
- 6 is not a factor of the polynomial.
C.
x
- 6 is a factor of the polynomial.
D.
x
+ 6 is a factor of the polynomial.
Hint
3.
Determine the binomial factors of
x
3
- 5
x
2
-
x
+ 5 = 0.
A.
x
+ 1,
x
- 1, and
x
- 6
B.
x
+ 1,
x
- 1, and
x
- 4
C.
x
- 1,
x
+ 1, and
x
- 3
D.
x
- 1,
x
+ 1, and
x
- 5
Hint
4.
Find the value of
k
so that the remainder of (
x
3
- 3
x
2
+
kx
- 6) ÷ (
x
+ 2) is 0.
A.
k
= 11
B.
k
= -13
C.
k
= -11
D.
k
= 6
Hint
5.
Use the Remainder Theorem to find the remainder for the division of
(
x
4
- 3
x
2
+ 2
x
- 1) ÷ (
x
- 1). The remainder is ____.
A.
2
B.
1
C.
0
D.
-1
Hint