<p> Algebra 2 Note-taking Guide Algebra 2 - Lesson 5.02 Multiplying and Dividing Rational Expressions</p><p>Please print this out in advance, and as you are working through the lesson, fill in the information and use this as your notes.</p><p> The goal is to have all the empty boxes checked</p><p>As you complete this lesson, please check that you can answer:</p><p> What steps assist with multiplying and dividing rational expressions?</p><p>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.</p><p>It is possible to multiply these rational expressions by multiplying the ______, multiplying the ______, and then simplifying. </p><p>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.</p><p>When multiplying rational expressions, common factors between the numerators and denominators may be ______.</p><p>Once all common factors have been identified and cancelled, multiply the rational expressions. Multiply the ______and multiply the ______.</p><p>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.</p><p>Step 1: Factor </p><p>Step 2: Cancel common factors</p><p>Step 3: Multiply the rational expressions</p><p>Use the table below to complete example 2 from page 2. </p><p>Step 1: Factor </p><p>Step 2: Cancel common factors</p><p>Algebra 2 Notetaking Guide Version 14 Florida Virtual School Step 3: Multiply the rational expressions</p><p>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. </p><p>Use the table below to complete example 1 from page 3. </p><p>Step 1: Keep, change, flip</p><p>Step 2: Factor</p><p>Step 3: Cancel common factors</p><p>Step 4: Multiply the rational expressions</p><p>Use the table below to complete example 2 from page 3. </p><p>Algebra 2 Notetaking Guide Version 14 Florida Virtual School Step 1: Keep, change, flip</p><p>Step 2: Factor</p><p>Step 3: Cancel common factors</p><p>Step 4: Multiply the rational expressions</p><p>You Try 1 (page 4)</p><p>You Try 2 (page 4)</p><p>Algebra 2 Notetaking Guide Version 14 Florida Virtual School Practice (page 5)</p><p>Practice (page 6)</p><p>Algebra 2 Notetaking Guide Version 14 Florida Virtual School Practice (page 7)</p><p>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. </p><p>Algebra 2 Notetaking Guide Version 14 Florida Virtual School</p>