Algebra 2 6-5 Finding Real Roots of Polynomial Equations.

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Presentation transcript:

Algebra Finding Real Roots of Polynomial Equations

Example

Multiplicity of Roots

Example

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

Rational Root Theorem

Rational Zero Theorem

Rational Zero Theorem - Practice

Finding Rational Roots - Process The process of finding rational roots –List all possible rational roots –Check the roots with synthetic division If the result is not zero, cross off from list If the result is zero, rewrite problem and repeat

Example - Process

Rational Zero Theorem

Irrational Root Theorem Conjugates

Example

Rational Zero Theorem

Practice Problems

Homework Pages 442 – , 28, 30, 32, 34, 53, 54