# Dividing Polynomials

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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. Example:

Evaluate (x2 + 8x) ÷ x

Solution:

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

Example:

Evaluate (4y4y3 + 2y2) ÷ (–y2)

Solution:

(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.

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