1. 2015/16 TI-Smartview 2.5 The Fundamental Theorem of Algebra

2. HWQ Perform the operation and simplify. Work must be shown to receive credit.

3. 2.5 The Fundamental Theorem of Algebra Students will find all zeros of polynomial functions, including complex zeros. Students will find conjugate pairs of complex zeros. Students will find zeros of polynomials by factoring.

4. The Fundamental Theorem of Algebra If f(x) is a polynomial of degree n, then f(x) has n zeros, real and (or) imaginary.

5. Example 1: Real Zeros of a Polynomial Function Counting multiplicity, justify that the second-degree polynomial function has exactly two factors and zeros.

6. Example 2: Real and Imaginary Complex Zeros of a Polynomial Function Justify that the third degree polynomial function has exactly three factors and zeros.

7. Example 3: Finding the zeros of a Polynomial Function Write as the product of linear factors, and list all the zeros of f.

8. Example 4: Finding a Polynomial with Given Zeros Find a fourth degree polynomial function with real coefficients that has - 1, - 1, and 3i as zeros.

9. Find all zeros without graphing the polynomial first given is a zero: Example 4: More practice

10. Example 5:Factoring a Polynomial For the following polynomial list all zeros.

11. You try: Solve by factoring:

12. Solve: Example 6:More practice

13. Homework 2.5 pg. 140 #9-35 odd, 45, 47, 57 **QUIZ TOMORROW OVER SECTIONS 2.4 & 2.5**