Lesson Plan #6



Lesson Plan #025

Class: PreCalculus Date: Thursday October 24th, 2013

Topic: Dividing Polynomials. Aim: How do we divide polynomials?

Objectives:

1) Students will be able to do long division of polynomials.

Do Now:

Procedure:

Write the AIM and DO NOW

Get students working!

Take attendance

Give back work

Go over HW

Collect HW

Assignment #1:

Examine the polynomial function[pic]. If a graphing calculator is not available, to find a zero of a polynomial function, we can sometimes try testing out some values to see if they work. Pick a value for [pic]to substitute and see if makes the polynomial equal to zero.

In the Assignment #1, if [pic]is a zero, then [pic]is a factor of the polynomial[pic]. How could we find another factor of the polynomial function[pic]?

[pic]

Together:

1) Divide [pic]by [pic] 2) Divide [pic]by [pic]

On Your Own:

3) Divide [pic] 4) Divide 4x4 + 3x3 + 2x + 1 by x2 + x + 2

by [pic]

Let’s take another look at the example from the Do Now

[pic] We can take a short cut to long division of polynomials when dividing by factors of the form [pic]. It is like dividing using only the coefficients. This is the setup for this specific example.

[pic]1 1 -6 11 -6

Online:

Together:

1) Use synthetic division to divide [pic]by [pic]

2) Divide 3x3 – 2x2 + 3x – 4 by x – 3 using synthetic division.

3) Use synthetic division to determine whether x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

4) Divide using Synthetic Division Method 

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HW# 025: Page 164 #’s 7, 10, 13, 18, 24, 30, 40, 52, 55

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