1. Fundamental Theorem of Algebra
PreCalculus 2-5

2. Fundamental Theorem

3. Fundamental Theorem

4. Fundamental Theorem

5. Fundamental Theorem

6. Fundamental Theorem

7. Fundamental Theorem

8. Find the complete factorization of the polynomial
Fundamental Theorem

9. Fundamental Theorem

10. Fundamental Theorem

11. Examples of polynomials and their zeros
Fundamental Theorem

12. Fundamental Theorem

13. Fundamental Theorem

14. Find the polynomial of degree 4 with zeros i, -i, 2 and -2 and with P(5)=273
Fundamental Theorem

15. Fundamental Theorem

16. Fundamental Theorem

17. Fundamental Theorem

18. Find the polynomial P(x) of degree 3 that has integer coefficients and zeros 1/3 and 5 – 2i
Fundamental Theorem

19. Fundamental Theorem

20. Fundamental Theorem

21. Fundamental Theorem

22. Fundamental Theorem

23. Factor the polynomial completely into linear factors with complex coefficients
Fundamental Theorem

24. Fundamental Theorem Consider the polynomial
It is a fact that – 2 is zero of this polynomial,
and another factor is
Use this information to factor the polynomial completely
Fundamental Theorem

25. Fundamental Theorem

26. Fundamental Theorem

27. Pg 140 – 141
11, 14, 19, 22, 25, 29, 30, 32, 35, 48, 53, 54
Homework