3.3_bzca5e

# 3.3_bzca5e - Section 3.3 Dividing Polynomials Remainder and...

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Section 3.3 Dividing Polynomials; Remainder and Factor Theorems

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Long Division of Polynomials and The Division Algorithm

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Long Division of Polynomials
Long Division of Polynomials 2 3 2 9 6 5 x x x - + + 12 5 x + 4 + 13 3 x 2 9 6 x x - 12 8 x - 13 3 2 x + -

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Long Division of Polynomials with Missing Terms 2 3 3 2 2 2 x +5x -3 x 3x 2 x +5x 3x -5x 6x 2 -5x 25x 15 31x- 17 + - - + - - + 5 x - 2 31 17 5 3 x x x - + + - You need to leave a hole when you have missing terms. This technique will help you line up like terms. See the dividend above.

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Example Divide using Long Division. 3 2 2 5 6 4 +7 x x x - -
Example Divide using Long Division. 2 4 3 2 1 8 3 +5 1 x x x x x - - - +

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Dividing Polynomials Using Synthetic Division

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Comparison of Long Division and Synthetic Division of X 3 +4x 2 -5x+5 divided by x-3
Steps of Synthetic Division dividing 5x 3 +6x+8 by x+2 Put in a 0 for the missing term.

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2 5 + 7 - 1 - Using synthetic division instead of long division. Notice that the divisor has to be a binomial of
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3.3_bzca5e - Section 3.3 Dividing Polynomials Remainder and...

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