1. The Fundamental Theorem of Algebra Section 4.6 beginning on page 198

2. The Fundamental Theorem of Algebra

3. Finding the Zeros of a Polynomial (We will test together on the board) ** Once you find one, divide into the NEW quotient. Once you get down to a quadratic you can factor the rest if possible)

4. The Complex Conjugates Theorem

5. Using Zeros to Write a Polynomial

6. Descartes’s Rule of Signs

7. Using Descartes’s Rule of Signs 3 sign changes  3 or 1 positive real zeros. 3 sign changes  3 or 1 negative real zeros. Positive RealNegative RealImaginaryTotal We know that there are 6 solutions (the degree of the polynomial is 6) 3 3 0 3 1 2 1 3 2 1 1 4

8. Monitoring Progress

9. 1) 2) Positive RealNegative RealImaginaryTotal 1023 Positive RealNegative RealImaginaryTotal 4004 2024 0044