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# Dividing a Polynomial by a Monomial

 When you added fractions, you learned: If we exchange the expressions on either side of the equals sign, we have:

We will use this property to divide a polynomial by a monomial. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Example 1

Find: (27w5x3y2 - 12w3x2y) Ã· 3w2xy

 Solution (27w5x3y2 - 12w3x2y) Ã· 3w2xy Rewrite the problem using a division bar. Divide each term of the polynomial by the monomial. Cancel the common factor, 3, in each fraction. Use the Division Property of Exponents. Note that y1 - 1 = y0 = 1. = 9w3x2y - 4wx