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.

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Presentation transcript:

Warm UpMar. 5 th 1.What is the absolute minimum of f(x) = 2x 4 – 17x x 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 t where t is time in seconds. How long does it take before the ball hits the ground? 3.Divide without a calculator ÷ 4

Homework Check & Questions? 1.a) for the situation (0, 200) and (0, 200) b) 181 turkeys c) days d) days 2.a) feet b) seconds c) seconds 3.a) after hours and hours b) ° after hours c) ° after hours

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 = inches Width = 8.86 inches Length = 4.86 inches 7.a) A = 2x (12 – x 2 ) b) length = 4 and width = 8

Dividing Polynomials

Review of long division…

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

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.

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

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.

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

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

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

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