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Dividing a Polynomial by a Monomial
Divide each term of the polynomial by the monomial. Example:
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Don’t let the “term-mite” bite you!
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Dividing a polynomial by a polynomial other than a monomial uses a “long division” technique that is similar to the process known as long division that you where taught in fourth grade.
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We then write our result as
Divide 43 into 72. We then write our result as Multiply 1 times 43. Subtract 43 from 72. Bring down 5. Divide 43 into 295. Multiply 6 times 43. We check Subtract 258 from 295. Bring down 6. Divide 43 into 376. Multiply 8 times 43. Subtract 344 from 376. Nothing to bring down.
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15 - 35 - x -( ) -( ) So our answer is Divide 28x2 divided by 7x
Multiply 4x times 7x + 3. Subtract 28x2 + 12x from 28x2 – 23x. Bring down – 15. -( ) 15 - Divide –35x divided by 7x. 35 - x Multiply – 5 times 7x + 3. Subtract –35x – 15 from –35x – 15. -( ) Nothing to bring down. So our answer is
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Quotient Dividend Divisor
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a) b) c)
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