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3.1 Graphs of Polynomials
3.1 Graphs of Polynomials
Definition and Examples of a General Polynomial
Definitions and Examples for:
- Leading Term
- Degree
- Leading Coefficient
- End Behavior
- Zeros
Definitions and Examples for Exponents/Multiplicities
- Even Multiplicities
- Odd Multiplicities
Applications: Max and Min Revisited (max volume for a cardboard box)
Pre-Calc 2/14.pdf3.2 Factor and Remainder Theorems
3.2 Factor and Remainder Theorems
Factored vs Nonfactored polynomials
Definitions and Examples of
- Division Algorithm:
- Notation
- Remainder Theorem
- Factor Theorem
- Synthetic Division
Pre-Calc 2/19.pdf3.3 Real Zeros
3.3 Real Zeros
Example of real zero vs complex zero
How to find real zeros
Definition and examples of the Rational Zero Theorem
Pre-Calc 2/21.pdf3.4 Complex Zeros
3.4 Complex Zeros
Complex definition
How to simplify imaginary numbers
How to find complex zeros
When to stop if you only want real numbers for zero
Pre-Calc 2/26.pdfPage updated
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