CCSS.Math.Content.HSA.APR.D.6 - Rewrite simple rational expressions in different forms; write ^a(x)/_b(x) in the form q(x) + ^r(x)/_b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

 
Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.HSA.APR.D.6 Rewrite Simple Rational Expressions In Different Forms;... Arithmetic with Polynomials & Rational Expressions - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

Copyright Date: 2010

(Page last edited 10/08/2017)

1. Polynomials - Divide polynomials using synthetic division
2. Polynomials - Divide polynomials using long division
3. Rational functions and expressions - Simplify rational expressions
4. Rational functions and expressions - Divide polynomials
5. Rational functions and expressions - Simplify rational expressions
6. Simplifying Rational Expressions: Example 1 - Video Lesson One: The following problem is worked as an example of simplifying rational expressions: Given a rectangle with a length a² + 6a -27 and a width of a² - 9, write the ratio of the width of the rectangle to its length as a simplified rational expression.
7. Simplifying Rational Expressions: Example 2 - Video Lesson Two: The following problem is worked as an example of simplifying rational expressions: (2x² + 13x + 20)/(2x² + 17x + 30).
8. Simplifying Rational Expressions: Example 3 - Video Lesson Three: The following problem is worked as an example of simplifying rational expressions: Simplify the rational expression and state the domain: (x² - 36)/(6 - x).
9. Simplifying Rational Expressions: Introduction - A video lesson introducing the topic is provided starting with simple fractions and progressing to rational expressions involving variables.