Dividing Rational Expressions and Identifying Excluded Values

Learn how to divide rational expressions and identify excluded values in this algebra tutorial! Mario's Math Tutoring demonstrates the "keep it, change it, flip it" method (multiplying by the reciprocal) for dividing algebraic fractions. We'll go through two examples, showing you how to factor polynomials in the numerator and denominator, identify all excluded values (including those from the numerator of the flipped fraction), and simplify the expressions by canceling common factors. In this video, you'll discover: 0:00 Introduction to Dividing Rational Expressions & Excluded Values 0:20 Dividing Fractions: Keep it, Change it, Flip it (Multiply by the Reciprocal) 0:40 Example 1: (x² + 10x + 25) / (x² + x - 12) ÷ (x² - 25) / (4x - 12) 1:00 Factoring All Polynomials (Trinomials, Difference of Squares, GCF) 2:10 Identifying Excluded Values (Denominators & Numerator of Flipped Fraction) 3:30 Rewriting as Multiplication by the Reciprocal 3:50 Canceling Common Factors 4:30 Final Simplified Expression 4:50 Example 2: (x² - 4) / (x² - 4x + 4) ÷ (x² + 3x + 2) / (x² - x - 2) 5:50 Factoring All Polynomials (Difference of Squares, Perfect Square Trinomial, Trinomials) 6:50 Identifying Excluded Values 7:50 Rewriting as Multiplication by the Reciprocal 8:20 Canceling Common Factors 9:00 Final Simplified Expression (Resulting in 1) Master dividing rational expressions and confidently navigate domain restrictions! #DividingRationalExpressions #RationalExpressions #Algebra2 #AlgebraicFractions #ExcludedValues #Factoring #MathTutorial #MathHelp * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/free-math-videos.html ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join