Name: Date: School: Facilitator: 4.06 Rational Roots (42 Points)
For the following polynomials list the possible rational zeros. (Do not find the zeros!)
1.
P
(
x
) = x
5
+ 3
x
3
+ 2
x
– 6
Possible Roots:
+1, +2, +3, +6
2.
P
(
x
) = 3
x
4
+ x
3
+ 2
x
2
– 2
Possible Roots:
+
1
,
+
1
3
'
+
2
+
2
3
3.
P
(
x
) = 2
x
5
+ 3
x
4
+ 2
x
2
−
2
Possible Roots: +
1
,
+
1
2
,
+
2
Using the theorems and techniques of this section, find the zeros of the following polynomial:
4.
P
(
x
) = x
3
−
4
x
2
+ x
+ 6
Possible Roots: +1, +2, +3, +6
Factors:
p and q
Zeros: Show your work below:
5.
Find the zeros of the polynomial P
(
x
) = 4
x
³ −
3
x
² −
25
x
−
6.
Possible Roots:
+
1
+
1
2
+
1
4
+
2
+
3
+
3
2
+
3
4
+
6
Factors:
p and x
Zeros:
Show your work below:
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