6.1.5 Dividing Polynomials Key Objectives • Divide polynomials by monomials and by binomials. • Perform long division of polynomials. Example 1 Dividing a Polynomial by a Monomial To divide a polynomial by a monomial, first write division as a rational expression. Then divide each term in the polynomial (numerator) by the monomial (denominator).
Example 2 Dividing a Polynomial by a Binomial Use the following steps to divide a polynomial by a binomial. 1. Factor the numerator and denominator, if possible. 2. Divide out any common factors. 3. Simplify.
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