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Martin-Gay, Beginning Algebra, 5ed 22 Dividing a Polynomial by a Monomial Divide each term of the polynomial by the monomial. Example:

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2 Martin-Gay, Beginning Algebra, 5ed 22 Dividing a Polynomial by a Monomial Divide each term of the polynomial by the monomial. Example:

3 Martin-Gay, Beginning Algebra, 5ed 33 Don’t let the “term-mite” bite you!

4 Martin-Gay, Beginning Algebra, 5ed 44 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.

5 Martin-Gay, Beginning Algebra, 5ed 55 Divide 43 into 72. Multiply 1 times 43. Subtract 43 from 72. Bring down 5. Divide 43 into 295. Multiply 6 times 43. Subtract 258 from 295. Bring down 6. Divide 43 into 376. Multiply 8 times 43. Subtract 344 from 376. Nothing to bring down. We then write our result as We check

6 Martin-Gay, Beginning Algebra, 5ed 66 35  x Divide 28x 2 divided by 7x Multiply 4x times 7x + 3. Subtract 28x 2 + 12x from 28x 2 – 23x. Bring down – 15. Divide –35x divided by 7x. Multiply – 5 times 7x + 3. Subtract –35x – 15 from –35x – 15. Nothing to bring down. 15   ( ) 0 So our answer is

7 Martin-Gay, Beginning Algebra, 5ed 77 Quotient Divisor Dividend

8 Martin-Gay, Beginning Algebra, 5ed 88

9 99 a) b) c)


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