How Do You Multiply a Rational Expression by a Polynomial?

How Do You Multiply a Rational Expression by a Polynomial?

Note:

To multiply a rational expression by a polynomial, just turn that polynomial into a fraction, multiply, and simplify to get your answer! This tutorial shows you that process step-by-step!

Keywords:

  • problem
  • rational
  • rational expression
  • multiply
  • simplify
  • polynomial
  • binomial
  • factor
  • factoring
  • fraction
  • algebraic fraction
  • cancel
  • gcf
  • greatest common factor
  • difference of squares
  • multiply fractions
  • variable
  • multiply rational expressions

Background Tutorials

  • Fraction Basics

      • What's a Numerator and What's A Denominator?What's a Numerator and What's A Denominator?

      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Factors

      • What's a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

  • Difference of Squares and Cubes

  • Simplifying Rational Expressions

      • What's a Rational Expression?What's a Rational Expression?

      What's a Rational Expression?

      Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.

  • Multiplying Rational Expressions

      • How Do You Multiply Two Rational Expressions?How Do You Multiply Two Rational Expressions?

      How Do You Multiply Two Rational Expressions?

      Multiplying together two rational expression isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two rational expressions and then simplify the product to get the answer. Check it out!

Further Exploration

  • Multiplying Rational Expressions

      • How Do You Multiply Two Rational Expressions?How Do You Multiply Two Rational Expressions?

      How Do You Multiply Two Rational Expressions?

      Multiplying together two rational expression isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two rational expressions and then simplify the product to get the answer. Check it out!

  • Dividing Rational Expressions

      • How Do You Divide a Rational Expression by a Polynomial?How Do You Divide a Rational Expression by a Polynomial?

      How Do You Divide a Rational Expression by a Polynomial?

      Dividing a rational expression by a polynomial is easier than you might think! Follow along as this tutorial takes you through that process step-by-step!

      • How Do You Divide Two Rational Expressions?How Do You Divide Two Rational Expressions?

      How Do You Divide Two Rational Expressions?

      Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!