# Math Help - roots

1. ## 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,

2. Originally Posted by makenqau
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.

3. Specifically, there exist polynomials of degree 5 and higher that have roots not expressible in terms of radicals.