1. Warm Up 1.What is the absolute minimum of f(x) = 2x 4 – 17x 3 + 37x 2 – 7x – 15 2.A ball is thrown into the air. It’s height above the ground in feet is given by h(t)= -16t 2 + 75t + 300 where t is time in seconds. How long does it take before the ball hits the ground? 3.Divide without a calculator 15983 ÷ 4

2. Dividing Polynomials

3. Review of long division…

5. Remember all exponents must be accounted for and have a place holder when dividing…

6. Review of synthetic division… Remember the divisor must be in the form (x – k) to use this method. In other words, the leading coefficient and the exponent on x must be 1.

9. The Remainder Theorem… Given f(x) = x 4 – 10x 2 – 2x + 4 Find f(-3).

12. The Factor Theorem… What makes a number a “factor” of another number? For example…why is 3 a factor of 12? (x – k) is a factor of f(x) if and only if the remainder is 0 … f(k) = 0.

13. Show that x = -4 is a solution to x 3 – 28x – 48 = 0. Use this to completely factor f(x) = x 3 – 28x – 48

14. Show that x = -2 is a solution to x 3 + 2x 2 – 3x – 6 = 0. Use this to completely factor f(x) = x 3 + 2x 2 – 3x – 6

15. Use the graph to guess possible linear factors of f(x). Then completely factor f(x). F(x) = 5x 3 – 12x 2 – 23x + 42

16. Homework page 223 – 224 #3 – 24 (multiples of 3) 25 and 26