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Polynomial Long Division ÷ Free powerpoints at http://www.worldofteaching.comhttp://www.worldofteaching.com

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Its just Division! The polynomial we divide with is called The Dividend The polynomial we divide by is called The Divisor The answer is called The Quotient

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Lets start Lets divide x 2 + 4x + 4 by x + 2 : x 2 + 4x + 4 x + 2

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Use the Long division

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How to fill in as to start? First, write the dividend inside. Next, write the divisor outside. Then, divide and the Quotient will be up. DivisorDividend Quotient

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Now Divide... x 2 + 4x + 4 x + 2 You divide the first monomial from the Dividend by the first monomial from the Divisor. You write the answer in the Quotients place. x 2 ÷ x = x x

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Multiply the answer x by the Divisor x x 2 + 4x + 4 x + 2 x 2 + 2x Write the answer under the dividend and subtract it from the dividend. 0 + 2x + 4

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Not finished, continue the Division x 2 + 4x + 4 x + 2 x x 2 + 2x 2x + 4 Repeat the same steps… Divide 2x by x + 2 2x ÷ x = 2

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Finish it! x 2 + 4x + 4 x + 2 -x 2 - 2x 2x + 4 x + 2 Multiply 2 by the divisor. 2x + 4 0 Subtract and answer.

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Finally… x 2 + 4x + 4 x + 2 = x + 2 Done by: George Saad mr_ge_or_ge@hotmail.com

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9.4 Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.

9.4 Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.

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