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
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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