Dividing Polynomials

Related Topics:
More Lessons for Algebra
Math Worksheets

Share this page to Google Classroom

In this lesson, we will look at how to divide polynomials by monomials.
To divide a polynomial by a monomial, each term of the polynomial is divided by the monomial. Be careful with the sign (+ or –) of each term in your answer.

The following diagram shows how to divide a polynomial by a monomial. Scroll down the page for more examples of dividing a polynomial by a monomial.
Divide a polynomial by a monomial


Evaluate (x2 + 8x) ÷ x


(x2 + 8x) ÷ x
= [x2 ÷ x] + [8x ÷ x]
= x + 8


Evaluate (4y4y3 + 2y2) ÷ (–y2)


(4y4y3 + 2y2) ÷ (–y2)
= [4y4 ÷ –y2] + [– y3 ÷ –y2] + [2y2 ÷ –y2]
= –4y2 + y – 2

You may want to look at the lessons on dividing polynomials by polynomials (also called long division) and synthetic division (a simplified form of long division)

Polynomial Division: Dividing by a Monomial

Explains and shows examples of how to divide a polynomial by a monomial

Dividing Polynomials by Monomials.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.