Finding Real Roots of Polynomial Equations

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Presentation transcript:

Finding Real Roots of Polynomial Equations Algebra 2 6-5

Example

Example

Multiplicity of Roots

Example

Example

This limits the number of possible rational solutions to a polynomial Rational Zero Theorem

Rational Root Theorem

Rational Zero Theorem

Rational Zero Theorem

Rational Zero Theorem

Rational Zero Theorem - Practice

Rational Zero Theorem - Practice

Rational Zero Theorem

Rational Zero Theorem

Rational Zero Theorem

Irrational Root Theorem

Example

Example

Example

Example

Example

Example

Rational Zero Theorem

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Pages 442 – 444 21, 22, 28, 30, 32, 34, 53, 54 Homework