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Math Help - roots

  1. #1
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    roots

    Is there any method of finding the roots of higher degree polynomials. Note that I am interested in non-numeric roots, I mean to I want to calculate roots in (a+sqr of n)/c form, not in the form 5.677777. How can we find the roots in this form of the polynomial n^5-7n^4+17n^3-18n^2+7n-1,
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  2. #2
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    Quote Originally Posted by makenqau View Post
    Is there any method of finding the roots of higher degree polynomials. Note that I am interested in non-numeric roots, I mean to I want to calculate roots in (a+sqr of n)/c form, not in the form 5.677777. How can we find the roots in this form of the polynomial n^5-7n^4+17n^3-18n^2+7n-1,
    It is well known (but not 'easily' proved without the appropriate mathematical background) that there is no general formula for solving a polynomial of degree 5 or higher.
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  3. #3
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    Specifically, there exist polynomials of degree 5 and higher that have roots not expressible in terms of radicals.
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