Download presentation

Presentation is loading. Please wait.

Published byMatilda Osborne Modified over 6 years ago

1
Factor Each Expression 1. 2. 3. 4.

2
Section 8.4

3
Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient of two integers. A rational expression can be expressed as a quotient of two polynomials.

5
Remember, denominators can not = 0. Now,lets go through the steps to simplify a rational expression.

6
Step 1: Factor the numerator and the denominator completely looking for common factors. Next

7
What is the common factor? Step 2: Divide the numerator and denominator by the common factor.

8
1 1 Step 3: Multiply to get your answer.

9
Looking at the answer from the previous example, what value of x would make the denominator 0? x= -1 The expression is undefined when the values make the denominator equal to 0

11
How do I find the values that make an expression undefined? Completely factor the original denominator.

12
The expression is undefined when: a= 0, 2, and -2 and b= 0. Factor the denominator

13
Lets go through another example. Factor out the GCF Next

14
1 1

19
Now try to do some on your own.

20
DAY 2

22
Remember how to multiply fractions: First you multiply the numerators then multiply the denominators.

23
The same method can be used to multiply rational expressions. 11111 1111

24
Let’s do another one. Step #1: Factor the numerator and the denominator. Next

25
Step #2: Divide the numerator and denominator by the common factors. 1 1 1 1 1 1

27
Remember how to divide fractions?

28
Multiply by the reciprocal of the divisor. 1 1 5 4

29
Dividing rational expressions uses the same procedure. Ex: Simplify

30
1 1 1 1

31
Now you try to simplify the expression:

33
Now try these on your own.

34
Here are the answers:

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google