1. The Fundamental Theorem of Algebra

2. Example

3. Roots and Zeros
Friedrich Gauss

4. Example

5. Example

6. Example

7. Complex Conjugate Root Theorem

8. Example

9. Example

10. Example

11. Example

12. Example

13. Example

14. Roots and Zeros

15. Roots and Zeros 2 6 4 Number of Positive Real Zeros
Number of Negative Real Zeros
Number of Imaginary Zeros
Total 2 6 4
Roots and Zeros

16. So, the number of imaginary zeros for all polynomial functions must be an even number
Roots and Zeros

17. Roots and Zeros

18. Roots and Zeros

19. Roots and Zeros

20. Roots and Zeros
Roots and Zeros

21. Roots and Zeros

22. Practice Problems

23. Practice Problems

24. Practice Problems

25. Practice Problems

26. Practice Problems

27. Practice Problems

28. 3
Practice Problems

29. Practice Problems

30. Practice Problems

31. Page
20 – 22, 26 – 36 even, 74, 75
Homework