Dividing a Polynomial by a Monomial
| When you added fractions, you learned:
|
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| If we exchange the expressions on
either side of the equals sign, we have: |
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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)
÷ 3w2xy
| Solution
|
(27w5x3y2 - 12w3x2y)
÷ 3w2xy |
| Rewrite the problem using a
division bar. |
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| Divide each term of the
polynomial by the monomial. |
 |
| Cancel the common factor, 3,
in each fraction. |
 |
| Use the Division Property
of Exponents. |
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| Note that y1 - 1 = y0 = 1. |
= 9w3x2y - 4wx |
