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Division

Site: Clare-Gladwin RESD
Course: Michigan Algebra II KHauck
Book: Division
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Date: Saturday, November 23, 2024, 5:06 AM

Description

Table of contents

Dividing Polynomials

Division of polynomials closely resembles simplifying fractions as demonstrated below:

Example example-dividing

There are two ways to proceed. Split the division into two fractions, each with only one term on top, and then reduce:

dividing1

...or, find the Greatest Common Factor (GCF) and factor it from the numerator and denominator, and cancel common factor(s):

dividing2

Either way, the solution is the same: x + 2.

Example 1

Divide and simplify the following polynomial expression.
Dividingexample1-1

Step 1. Rewrite as a fraction
dividingexample1-1 001
Step 2. Factor the GCF from the numerator and denominator
dividingexample1-2

Step 3. Cancel the common factor(s)
dividingexample1-4
Step 4. Rewrite
dividingexamples1-4

Example 2

Divide & Simplify by splitting into fractions
dividingexample2

Step 1. Rewrite as a fraction
dividingexamples2-1

Step 2. Split the expression into individual fractions
dividingexamples2-2

Step 3. Cancel the common factor(s)
dividingexample2-3

Step 4. Rewrite
dividingexample2-4

Video Lesson

Dividing Polynomials

Online Lesson and Practice

For further instruction and examples select the link below:

Dividing Polynomials

Interactive Activity

To see how to divide polynomials select the following link:

Dividing Polynomials

Guided Practice

To solidify your understanding of dividing polynomial expressions, visit the following link to Holt, Rinehart and Winston Homework Help Online. It provides examples, video tutorials and interactive practice with answers available. The Practice and Problem Solving section has two parts. The first part offers practice with a complete video explanation for the type of problem with just a click of the video icon. The second part offers practice with the solution for each problem only a click of the light bulb away.

Guided Practice

Practice

Dividing Polynomials Practice

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Answer Key

Dividing Polynomials Review Answers

*Note: If Google Docs displays “Sorry, we were unable to retrieve the document for viewing,” refresh your browser.

Sources

Sources used in this book:

Cosmeo, "Divide Two Polynomials." 2009. http://www.webmath.com/polydiv.html (accessed 12/7/2009).

Embracing Mathematics, Assessment & Technology in High Schools; a Michigan Mathematics & Science Partnership Grant Project

Holt, Rinehart, and Winston, "Polynomial Functions." http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch06_03_homeworkhelp.html (accessed 6/16/2010).

Online Learning, "Polynomial Division: Simplification." 2009.http://www.onlinemathlearning.com/dividing-polynomials.html (accessed 12/7/2009).

Original URL: http://www.purplemath.com/modules/polydiv.htm
Copyright 2009 Elizabeth Stapel; All Rights Reserved. Terms of Use: http://www.purplemath.com/terms.htm