Simplifying Rational Expressions - PowerPoint PPT Presentation

About This Presentation
Title:

Simplifying Rational Expressions

Description:

Title: Lesson 8-1: Multiplying and Dividing Rational Expressions Author: Elementary/Secondary Schools Last modified by: Elementary Schools Created Date – PowerPoint PPT presentation

Number of Views:270
Avg rating:3.0/5.0
Slides: 26
Provided by: Elementary97
Category:

less

Transcript and Presenter's Notes

Title: Simplifying Rational Expressions


1
Simplifying Rational Expressions
  • Advanced Math Topics
  • Mrs. Mongold

2
Rational Expression
  • Def a ratio of two polynomial expressions

3
To Simplify A Rational Expression
  • 1. Make sure both the numerator and denominator
    are factored completely!!!
  • 2. Look for common factors and cancel
  • Remember factors are things that are being
    multiplied you can NEVER cancel things that are
    being added or subtracted!!!
  • 3. Find out what conditions make the expression
    undefined and state them.

4
Examples
  • 1. Simplify and state
    the values for x that result in the expression
    being undefined

5
Examples Cont
  • 2. Simplify
    and state the values for x that result in
    the expression being undefined

6
Examples Cont
  • 3. Simplify and
    state the values for x that result in the
    expression being undefined

7
Examples Cont
  • 4. Simplify and
    state the values forx that result in the
    expression being undefined

8
Examples Cont
  • 5. Simplify

9
Examples Cont
  • 6. Simplify

10
Examples Cont
  • 7. Simplify

11
Examples Cont
  • 8. Simplify

12
Operations with Rational Expressions
13
Examples
  • 9.

14
Examples Cont
  • 10.

15
Examples Cont
  • 11.

16
Examples Cont
  • 12.

17
Examples Cont
  • 13.

18
Examples Cont
  • 14.

19
Polynomials in Numerator and Denominator
  • Rules are the same as before
  • 1. Make sure everything is factored completely
  • 2. Cancel common factors
  • 3. Simplify and define x values for which the
    expression is undefined.

20
Examples
  • 1.

21
Examples
  • 2.

22
Examples
  • 3.

23
Examples
  • 4.

24
Examples
  • 5.

25
Examples
  • 6.
Write a Comment
User Comments (0)
About PowerShow.com