Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Polynomial roots or discriminant

  1. Jul 24, 2013 #1
    Hi there,

    I was wondering if it is possible to find the roots of the following polynomial
    [tex]
    P(x)=x^n+a x^m+b
    [/tex]
    or at least can I get the discriminant of it, which is the determinant of the Sylvester matrix associated to P(x) and P'(x).

    Thanks
     
  2. jcsd
  3. Jul 24, 2013 #2
    The Abel-Ruffini theorem says that it's impossible to find the roots of ##x^5 - x +1## using only rational numbers and radicals and combinations of those. So that's a counterexample to being able to find all the roots.
     
  4. Jul 24, 2013 #3
    Yes that's true, then do you have any idea how to get the discriminant ?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...
Similar Threads for Polynomial roots discriminant
B Square root differential problem
I Help solving a Polynomial