Algebra 2 Note-Taking Guide
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Algebra 2 Note-taking Guide Algebra 2 - Lesson 5.02 Multiplying and Dividing Rational Expressions
Please print this out in advance, and as you are working through the lesson, fill in the information and use this as your notes.
The goal is to have all the empty boxes checked
As you complete this lesson, please check that you can answer:
What steps assist with multiplying and dividing rational expressions?
Multiplying Rational Expressions (page 1) A rational expression is a polynomial ______by another polynomial. Multiplying rational expressions containing variables is very similar to multiplying fractions.
It is possible to multiply these rational expressions by multiplying the ______, multiplying the ______, and then simplifying.
However, there is another way. Write the numerator and denominator of the second fraction as a product of ______. The factors used should match the factors of the first fraction, if possible.
When multiplying rational expressions, common factors between the numerators and denominators may be ______.
Once all common factors have been identified and cancelled, multiply the rational expressions. Multiply the ______and multiply the ______.
Algebra 2 Notetaking Guide Version 14 Florida Virtual School Use the table below to complete example 1 from page 2. You can watch the video in the lesson for help.
Step 1: Factor
Step 2: Cancel common factors
Step 3: Multiply the rational expressions
Use the table below to complete example 2 from page 2.
Step 1: Factor
Step 2: Cancel common factors
Algebra 2 Notetaking Guide Version 14 Florida Virtual School Step 3: Multiply the rational expressions
Dividing Rational Expressions (page 3) Dividing rational expressions is the same as multiplying rational expressions with one additional step. Turn the division expression into a multiplication expression! How do you do that? Multiply the first fraction by the ______, or inverse, of the second fraction. In other words, ______the first fraction as it is, ______the division sign to a multiplication sign, and ______the second fraction.
Use the table below to complete example 1 from page 3.
Step 1: Keep, change, flip
Step 2: Factor
Step 3: Cancel common factors
Step 4: Multiply the rational expressions
Use the table below to complete example 2 from page 3.
Algebra 2 Notetaking Guide Version 14 Florida Virtual School Step 1: Keep, change, flip
Step 2: Factor
Step 3: Cancel common factors
Step 4: Multiply the rational expressions
You Try 1 (page 4)
You Try 2 (page 4)
Algebra 2 Notetaking Guide Version 14 Florida Virtual School Practice (page 5)
Practice (page 6)
Algebra 2 Notetaking Guide Version 14 Florida Virtual School Practice (page 7)
Algebra 2 Notetaking Guide Version 14 Florida Virtual School Finally, complete the 5.02 Assessment, Multiplying and Dividing Rational Expressions. This is an auto-graded assignment. You will get immediate feedback on your work.
Algebra 2 Notetaking Guide Version 14 Florida Virtual School