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More Lessons for Algebra

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

Dividing Polynomials by Monomials.

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)

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