1.
State the number of positive real zeros for the polynomial
f
(
x
) =
x
3
+ 4
x
2
+
x
+ 5.
A.
0
B.
2
C.
3
D.
1
Hint
2.
How many possible negative real zeros are there for the polynomial
g
(
x
) = 2
x
4
+
x
3
- 4
x
+ 1?
A.
5
B.
3
C.
1
D.
2
Hint
3.
One zero of
h
(
x
) =
x
3
- 3
x
2
+
x
+ 5 is 2 -
i
. Which of the following is another zero?
A.
1 - 2
i
B.
1
C.
2 +
i
D.
1 -
i
Hint
4.
One zero of
p
(
x
) =
x
3
- 3
x
2
- 6
x
+ 8 is 1. Which of the following is another zero?
A.
4
B.
1 +
i
C.
-1
D.
1 -
i
Hint
5.
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3
i
?
A.
y
=
x
3
- 2
x
2
- 9
x
+ 18
B.
y
=
x
2
- 5
x
- 6
C.
y
=
x
2
+
x
- 6
D.
y
=
x
3
- 2
x
2
+ 9
x
- 18
Hint