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More Lessons for Algebra

Math Worksheets

In this lesson, we will look at how to divide polynomials by monomials.

Dividing Polynomials by Monomials.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Algebra

Math Worksheets

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.

** Example: **

Evaluate (*x*^{2} + 8*x*) ÷ *x *

** Solution: **

(*x*^{2} + 8*x*) ÷ *x *

= [*x*^{2} ÷ *x*] + [8*x* ÷ *x*]

= *x* + 8

**Example:**

Evaluate (4*y*^{4} – *y*^{3} + 2*y*^{2}) ÷ (–*y*^{2})

**Solution: **

(4*y*^{4}– *y*^{3} + 2*y*^{2}) ÷ (–*y*^{2})

= [4*y*^{4} ÷ –*y*^{2}] + [– *y*3 ÷ –*y*^{2}] + [2*y*^{2} ÷ –*y*^{2}]

= –4*y*^{2} + *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)

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