1. 2/17/14

4. Silent Solving with a Partner 1) Solve by factoring: x 3 – 2x 2 + 4x – 8

5. Silent Solving with a Partner 2) Solve by factoring: x 4 – 12x 2 + 11

6. Silent Solving with a Partner 3) Write a polynomial with these roots: 1, 2, 3/5

7. Silent Solving with a Partner 4) a)List all roots for this polynomial b) is the function odd or even c) what is the sign of the leading coefficient?

8. Silent Solving with a Partner 5) Solve by factoring: x 4 + 3x 3 – 21x 2 – 48x + 80

9. Silent Solving with a Partner 6) Write a polynomial with these roots: -5, 3i, √2

10. 2/18/14

11. 2/19/14

12. HW Qs? HW Qs? H8: WS

13. History and Creation of Pascal’s Triangle The Chinese developed the same triangle in 1261. Used for solving algebra problems.

14. BLAISE PASCAL  French mathematician  Born in 1623  Child prodigy  At age 19, invented 1st calculating machine (called the Pascaline) to help his father who was a tax collector  Developed the triangle in response to a question on gambling  Died at the age of 39 as a result of poor health

15. Pascal’s Triangle & Algebra (x + y) 0 = 1 (x + y) 1 = 1x + 1y (x + y) 2 = 1x 2 + 2xy + 1y 2 (x + y) 3 = 1x 3 + 3x 2 y + 3xy 2 + 1y 3 (x + y) 4 = 1x 4 + 4x 3 y + 6x 2 y 2 + 4xy 3 + 1y 4 What is the degree of each term?

16. 5-7 2/19 Binomial Theorem 50

17. Binomial Theorem: can use Pascal’s Triangle to expand a BINOMIAL expression. Example: 1) (3x – 5) 2

19. 2/20/14

20. HW Questions? HW Questions? H9: p. 329-330 #9- 15 odd, 27, 29, 55, 59-67 odd

22. 2/21/14

24. Interpolation – between data points (within domain) Extrapolation – prediction beyond data points (beyond domain)

25. Interpolation – between data points (within domain) Extrapolation – prediction beyond data points (beyond domain)

26. (n + 1) Point Principle