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Math Help - [SOLVED] need help solving polynomial long division

  1. #1
    mkjmn
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    [SOLVED] need help solving polynomial long division

    Please show step by step how to solve long division method of;

    (3x^2 -x+x^3-3) / (x^2+4x+3)
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by mkjmn View Post
    Please show step by step how to solve long division method of;

    (3x^2 -x+x^3-3) / (x^2+4x+3)
    Hello,

    first rearrange dividend and divisor so that the powers of x are written in descending order:

    (x^3 + 3x^2 - x - 3) / (x^2 + 4x + 3)

    I assume that you know how to do long division:
    Code:
      (x^3 + 3x^2 -  x - 3)  (x^2 + 4x + 3) = x - 1
     -(x^3 + 4x^2 + 3x)
    -------------------
             -x^2 - 4x - 3
           -(-x^2 - 4x - 3)
    ------------------------
                         0
    Because the remainder is zero the dividend is a multiple of the divisor.
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