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Algebra II
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Polynomials
: Problems
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Introduction and Summary
Terms
--------------------
Nested Form of a Polynomial
Problems
--------------------
Long Division of a Polynomial by a Binomial
Problems
--------------------
Synthetic Division
Problems
--------------------
The Rational Zeros Theorem
Problems
--------------------
Complex Zeros and the Fundamental Theorem of Algebra
Problems
Problems
Problem 3.1:
What is
3
x
5
-7
x
4
-11
x
3
+31
x
2
- 28
x
- 60
divided by
x
- 3
?
[
Solution
]
Problem 3.2:
What is
2
x
4
+8
x
3
+2
x
2
- 3
x
+ 18
divided by
x
+ 2
?.
[
Solution
]
Problem 3.3:
What is
x
4
-7
x
3
+10
x
2
+ 4
x
- 20
divided by
x
- 5
?
[
Solution
]
Problem 3.4:
What is
3
x
5
+15
x
4
+6
x
3
-18
x
2
+ 75
x
+ 63
divided by
3
x
+ 9
?
[
Solution
]
Problem 3.5:
What is
x
5
+8
x
4
+12
x
3
- 8
x
- 48
divided by
x
+ 6
?
[
Solution
]
Problem 3.6:
Is any of the following a factor of
x
4
+
x
3
-13
x
2
-
x
+ 12
? a)
x
- 2
b)
x
+ 4
c)
x
- 3
d)
x
+ 3
e)
x
- 1
f)
x
[
Solution
]
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- Navigate Here -
Introduction and Summary
Terms
--------------------
Nested Form of a Polynomial
Problems
--------------------
Long Division of a Polynomial by a Binomial
Problems
--------------------
Synthetic Division
Problems
--------------------
The Rational Zeros Theorem
Problems
--------------------
Complex Zeros and the Fundamental Theorem of Algebra
Problems
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