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Math Help - polynomial long division

  1. #1
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    polynomial long division

    is it possible to use long division when you have something of

    whatever x+ whatever / x^3 + whatever. Rather than post the exact problem I thought I would just ask beacause as I try to do the long division, I seem to keep looping and cannot get rid of the x^3.
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  2. #2
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    Quote Originally Posted by gammaman View Post
    is it possible to use long division when you have something of

    whatever x+ whatever / x^3 + whatever. Rather than post the exact problem I thought I would just ask beacause as I try to do the long division, I seem to keep looping and cannot get rid of the x^3.
    If you have a quotient where the degree of the numerator is smaller than the degree of the denominator then the result is 0 + quotient.
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  3. #3
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    I not quite sure what you mean, but here is a good long division program (and its free).

    long divide polynomials

    It will show you all of the steps of any long division problem.
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  4. #4
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    I don't really know what you mean but here is the exact problem

    2x+4 / 3x^3-7x+2
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  5. #5
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    Quote Originally Posted by gammaman View Post
    I don't really know what you mean but here is the exact problem

    2x+4 / 3x^3-7x+2
    (2x + 4) \div (3x^3-7x+2)= 0 + \dfrac{2x+4}{3x^3-7x+2}
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  6. #6
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    woops sorry it was the other way around

    3x^3-7x+2 / 2x+4

    forgive me I am loosing my mind.
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  7. #7
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    Quote Originally Posted by gammaman View Post
    woops sorry it was the other way around

    3x^3-7x+2 / 2x+4

    forgive me I am loosing my mind.
    See attachment.
    Attached Thumbnails Attached Thumbnails polynomial long division-long-division.png  
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  8. #8
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    would the final answer be
    \frac{3x^2}{4}-3x-8\ln|2x+4|+c
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