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

2. Example

4. Multiplicity of Roots

5. Example

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

8. Rational Root Theorem

9. Rational Zero Theorem

12. Rational Zero Theorem - Practice

14. 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

15. Example - Process

16. Rational Zero Theorem

19. Irrational Root Theorem Conjugates

20. Example

26. Rational Zero Theorem

27. Practice Problems

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