Enter your Sign on user name and password.

Forgot password?
Sign In | Subscribe
INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
Start learning today, and be successful in your academic & professional career. Start Today!
Loading video...
This is a quick preview of the lesson. For full access, please Log In or Sign up.
For more information, please see full course syllabus of Algebra 1
  • Discussion

  • Study Guides

  • Download Lecture Slides

  • Table of Contents

  • Related Books

Start Learning Now

Our free lessons will get you started (Adobe Flash® required).
Get immediate access to our entire library.

Sign up for Educator.com

Membership Overview

  • Unlimited access to our entire library of courses.
  • Search and jump to exactly what you want to learn.
  • *Ask questions and get answers from the community and our teachers!
  • Practice questions with step-by-step solutions.
  • Download lesson files for programming and software training practice.
  • Track your course viewing progress.
  • Download lecture slides for taking notes.
  • Learn at your own pace... anytime, anywhere!

Rational Expressions

  • A rational expression is a fraction whose numerator and denominator are polynomials.

  • Any values of the variable that make the denominator equal to zero produce an undefined expression. So these values must be excluded when we consider the rational expression.

  • To simplify a rational expression, factor the numerator and denominator completely. Then cancel the common factors.

  • If two factors in the numerator and denominator look almost the same, factor –1 out of either of the factors and see if you get two identical factors.

  • Excluded values are always determined using the original expression, not the simplified one.

Rational Expressions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Rational Expression 0:55
    • Example
  • Excluded Values 1:29
    • Examples
  • Simplifying Rational Expressions 5:36
    • Greatest Common Factor (GCF)
    • Example
    • Example
  • Simplifying and Excluded Values 9:34
  • Lecture Example 1 9:50
  • Lecture Example 2 13:55
  • Additional Example 3
  • Additional Example 4