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The Rational Zeros Theorem
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Complex Zeros and the Fundamental Theorem of Algebra
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Polynomials
Problems
Problem 4.1:
Find all the rational zeros of
P
(
x
) = 6
x
4
-
x
3
-55
x
2
+ 9
x
+ 9
.
Solution for Problem 4.1
Problem 4.2:
Find all the rational zeros of
P
(
x
) = 3
x
4
+10
x
3
-11
x
2
- 10
x
+ 8
.
Solution for Problem 4.2
Problem 4.3:
Find all the rational zeros of
P
(
x
) = 2
x
4
+
x
3
-14
x
2
+ 5
x
+ 6
.
Solution for Problem 4.3
Problem 4.4:
Factor completely:
P
(
x
) = 3
x
3
+17
x
2
+ 5
x
- 25
.
Solution for Problem 4.4
Problem 4.5:
Factor completely:
P
(
x
) = 4
x
4
+13
x
3
-49
x
2
- 73
x
- 15
.
Solution for Problem 4.5
Problem 4.6:
Factor completely:
P
(
x
) = 8
x
4
+24
x
3
-34
x
2
- 6
x
+ 8
.
Solution for Problem 4.6
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