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Math Help - Synthetic Division

  1. #1
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    Synthetic Division

    Will you please help me divide the following using synthetic division: 4x^3 4x^2 + 9x + 6 by 2x +1

    Thank you
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  2. #2
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    Quote Originally Posted by oceanmd View Post
    Will you please help me divide the following using synthetic division: 4x^3 4x^2 + 9x + 6 by 2x +1

    Thank you
    Consider: \frac{4x^{3}-4x^{2}+9x+6}{2x+1}\;=\;\frac{2x^{3}-2x^{2}+(9/2)x+3}{x+(1/2)}

    Then write these values in the right places: 2 -1 -3 (12/2 = 6) -3 0
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  3. #3
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    OK so we want to get 2x + 1 = 0

    We find that x = -\frac{1}{2}

    Now apply synthetic division.

    The Remainder Theorem Look at the bottom of that page where it explains how to do it. If the remainder is 0 then -\frac{1}{2} is a factor. The numbers on the bottoms are the coefficients of the new polynomial you will get.

    (Sorry if this was confusing)
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