1. Warm UpMar. 5 th 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. Homework Check & Questions? 1.a) for the situation (0, 200) and (0, 200) b) 181 turkeys c) 77.691 days d) 156.582 days 2.a) 24.141 feet b) 1.094 seconds c) 2.322 seconds 3.a) after 0.7596 hours and 18.373 hours b) 101.795° after 7.645 hours c) 29.080 ° after 23.022 hours

3. Homework Check & Questions? 4.5 feet 5.a) 600 feet 2 b) 32 feet by 16 feet and 8 feet by 64 feet c) 20 feet by 40 feet and 800 feet 2 6.Height = 1.570 inches Width = 8.86 inches Length = 4.86 inches 7.a) A = 2x (12 – x 2 ) b) length = 4 and width = 8

4. Dividing Polynomials

5. Review of long division…

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

8. 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.

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

14. 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.

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

16. 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

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

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