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Math Help - dividing polynomials

  1. #1
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    dividing polynomials

    I have a question where I have to divide:

    x^4-2x^3-3x^2+11x+3 by x^2-4

    So doing by long division I have got as far as:




    Sorry about it being hard to read I didn;t know how to do it by typing it.

    Anyway in all the example I have of doing this the power of the second term (-2x^3 and 4x^2) has been the same but in this one it is not. Have I made a mistake or am right so far?

    If I am right so far how do I take it forward?
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  2. #2
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    Quote Originally Posted by JQ2009 View Post
    I have a question where I have to divide:

    x^4-2x^3-3x^2+11x+3 by x^2-4

    So doing by long division I have got as far as:




    ...
    Code:
                                                     3x+7
      (x^4-2x^3-3x^2+11x+3)  (x^2-4) = x^2-2x+1 + ----------
     -(x^4     -4x^2)                                x^2-4
     -------------------
          -2x^3 +x^2+11x 
        -(-2x^2     +8x)
          -----------------
                 x^2+3x+3
               -(x^2   -4)
               -------------
                     3x+7
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