Dividing a Polynomial by a Monomial: A Step-by-Step Guide

Jan 31, 2026

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This guide focuses on the method of dividing a polynomial by a monomial using the Three S's: Separate, Simplify, and Circle. First, each term in the polynomial is separated and placed over the monomial denominator. Next, simplify each term by dividing the coefficients and subtracting the exponents. Ensure not to combine the answers over a common denominator. This approach clarifies how to handle polynomial division and provides examples for better understanding.

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Dividing a Polynomial by a Monomial: A Step-by-Step Guide

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MTH 091 Section 10.7 Dividing a Polynomial by a Monomial
The Three S’s • When you divide a polynomial by a monomial: • Separate the terms in the numerator. Write each term over the denominator. • Simplify each quotient according to the coefficients (divide or reduce) and the exponents (subtract, where are there more?) • Sircle your answer. Do not try to combine your answers over a common denominator.
Examples