Simplifying, Multiplying and Dividing Rational Expressions - PowerPoint PPT Presentation

About This Presentation
Title:

Simplifying, Multiplying and Dividing Rational Expressions

Description:

Simplifying, Multiplying and Dividing Rational Expressions Section 6.1 What is a rational number? Simplifying Rational Expressions Simplify each expression Multiply ... – PowerPoint PPT presentation

Number of Views:521
Avg rating:3.0/5.0
Slides: 11
Provided by: hmo3
Category:

less

Transcript and Presenter's Notes

Title: Simplifying, Multiplying and Dividing Rational Expressions


1
Simplifying, Multiplying and Dividing Rational
Expressions
  • Section 6.1

2
What is a rational number?
Any value that can be written in the form where p
and q are integers.
Rational numbers
Irrational numbers
What is a rational expression?
An expression in fractional form, with
polynomials in the numerator and/or denominator.
3
Simplifying Rational Expressions
Which is the correct way to simplify
?
Method 1
  • You can only cross cancel common factors
    (quantities being multiplied).
  • Always factor numerators/ denominators that
    contain polynomials other than monomials (1 term
    expressions)

Method 2
4
Simplify each expression
5
Multiply the Fractions
Explain the procedure you follow to multiply
fractions 1. 2.
6
Divide the fractions
Explain the procedure you follow to divide
fractions 1. 2. 3.
7
Multiply or Divide the Rational Expressions
You Try
Multiplying 1. Cross cancel common factors 2.
Multiply and simplify
x3
y2
  • Dividing
  • Multiply by the reciprocal
  • Cross cancel common factors
  • 3. Simplify

8
Multiply or Divide the Rational Expressions
Factor all numerators and denominators to find
common factors
Cancel common factors and simplify
9
You try
10
The Domain of a Rational Function
  • The domain of a rational function is

all real numbers EXCEPT for any values that will
make the denominator equal to zero.
Find the domain of each function
Write a Comment
User Comments (0)
About PowerShow.com