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

Interpret parts of an expression, such as terms, factors, and coefficients.
- 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!
Use the structure of an expression to identify ways to rewrite it.
- How Do You Factor a Polynomial Using Difference of Squares?
  
  Trying to factor a binomial with perfect square factors that are being subtracted? You have a difference of squares problem! Learn how to factor a binomial like this one by watching this tutorial.
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide 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!
- 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.