Solving Higher Degree Polynomial Equations
Let
Has Degree zero Has Degree one Has Degree two Has Degree three ? Has Degree
A Polynomial Function of Degree n in one variable x , where
Has NO zeros Has ONE zero Has TWO zeros Has THREE zeros Has n zeros
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A Polynomial Function of Degree n in one variable x , where Has Exactly n zeros
How Many Zeros Should We Expect ? 5
Ex 1 ZEROS How Do I Do That? FACTOR
Ex 1 ZEROS GCF
Ex 1 ZEROS
Ex 1 ZEROS
Ex 1 ZEROS
Ex 1 ZEROS
Ex 1 ZEROS
Ex 1 ZEROS Completely Factored ? NO
Ex 1 ZEROS Linear Factors
Ex 1 ZEROS
Ex 1 FIND THE ZEROS
Ex 1
Ex 1
Ex 1
Ex 1
Ex 1
Ex 1
Ex 1 Zeros
Ex 1 Zeros
Ex 1 Zeros
Ex 1 How Many Zeros ? 5 Zeros
Next Example
How Many Zeros Should We Expect ? 4
Ex 2 ZEROS FACTOR
Ex 2 ZEROS
Ex 2 Dummy Out ZEROS You Finish
Ex 2 ZEROS
Ex 2 ZEROS 4 Zeros How Many Zeros ?
Ex 2 4 Zeroc How Many Zeros ?
Next Example
How Many Zeros Should We Expect ? 3
Ex 3 ZEROS ? Try Grouping
Ex 3 ZEROS
Ex 3 ZEROS
Ex 3 ZEROS
Ex 3 FACTOR NO
Ex 3
Ex 3 You Finish
Ex 3
Ex 3 How Many Zeros ? 3 Zeros
Ex 3 How Many Zeros ? 3 Zeros
Next Example
How Many Zeros Should We Expect ? 6
Try The Difference of Two Squares Ex 4 ZEROS Try The Difference of Two Squares
Ex 4 ZEROS The Sum of Two Cubes
The Difference of Two Cubes Ex 4 ZEROS The Difference of Two Cubes
Ex 4 ZEROS
Ex 4 ZEROS Factorable? NO
Ex 4 ZEROS
Ex 4 ZEROS
Ex 4 ZEROS
Ex 4 ZEROS
Ex 4 ZEROS
Ex 4 Quadratic Formula Quadratic Formula
Ex 4
Ex 4 ZEROS
Ex 4 How Many Zeros ? 6 ZEROS
Ex 4 How Many Zeros ? 6 ZEROS