1. Mrs. Rivas International Studies Charter School.

2. Mrs. Rivas International Studies Charter School. The Rational Zero Theorem Use the Rational Zero Theorem to find possible rational zeros.

3. Mrs. Rivas International Studies Charter School.

4. Mrs. Rivas International Studies Charter School. Using the Rational Zero Theorem Example 1 Constant term is 4 Leading Coefficient is -1 4 Factors of the constant term, 4: -1 Factors of the leading coefficient, -1:,,,,, There are six POSSIBLE rational zeros. The x-intercept are -2 and 2. Thus, -2 and 2 are the ACTUAL rational zeros.

5. Mrs. Rivas International Studies Charter School. Using the Rational Zero Theorem Example 2 Constant term is -2 Leading Coefficient is 15 -2 Factors of the constant term, -2: 15 Factors of the leading coefficient, 15:

6. Mrs. Rivas International Studies Charter School.

7. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 3

8. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 3

9. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 3

10. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 4

11. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 4

12. Mrs. Rivas International Studies Charter School. Solving a Polynomial Equation Example 5

13. Mrs. Rivas International Studies Charter School. Solving a Polynomial Equation Example 5

14. Mrs. Rivas International Studies Charter School. Solving a Polynomial Equation Example 5

15. Mrs. Rivas International Studies Charter School. Solving a Polynomial Equation Example 5

16. Mrs. Rivas International Studies Charter School. Solving a Polynomial Equation Example 5

17. Mrs. Rivas International Studies Charter School.

18. Mrs. Rivas International Studies Charter School. The Fundamental Theorem of Algebra

19. Mrs. Rivas International Studies Charter School. The Linear Factorization Theorem

20. Mrs. Rivas International Studies Charter School.

21. Mrs. Rivas International Studies Charter School. Finding a Polynomial Function with Given Zeros Example 6

22. Mrs. Rivas International Studies Charter School. Finding a Polynomial Function with Given Zeros Example 6

23. Mrs. Rivas International Studies Charter School. Descartes’s Rule of Signs

24. Mrs. Rivas International Studies Charter School.

25. Mrs. Rivas International Studies Charter School. The numbers of real zeros given by Descartes's Rule of Signs includes rational zeros from a list of possible rational zeros, as well as irrational zeros not on the list. It does not include any imaginary zeros.

26. Mrs. Rivas International Studies Charter School. Descartes’s Rule of Signs

27. Mrs. Rivas International Studies Charter School. Using Descartes’s Rule of Signs Example 7

28. Mrs. Rivas International Studies Charter School. Using Descartes’s Rule of Signs Example 7

29. Mrs. Rivas International Studies Charter School. Using Descartes’s Rule of Signs Example 7

30. Mrs. Rivas International Studies Charter School. Using Descartes’s Rule of Signs Example 7

31. Mrs. Rivas International Studies Charter School Pages: Pages: 335-336 # Check Points 1-7 and # 6-52 Even Quote “It had long since come to my attention that people of accomplishment rarely sat back and let things happened to them. They went out and happened to things” Leonardo da Vinci