From: david_maor@my-deja.com
Subject: Re: Polynomials and real roots
Date: Fri, 26 Jan 2001 13:55:58 GMT
Newsgroups: sci.math
Summary: Budan Fourier theorem to determine numbers of roots in an interval

The Budan Fourier theorem gives necessary conditions for a polynomial
equation to have n real roots between two given numbers.

Look in M. Mignotte, Mathematics for Computer Algebra, Springer-Verlag
1992, p. 196.

David

In article <3a717426$1@ensae.fr>,
  "Sebastian Perez-Duarte" <perez@ensae.fr> wrote:
> Is there a way (without actually finding the roots) to know if a polynomial
> (of any degree) has all its roots on the real line ? (like the bē-4ac of 2nd
> degree polynomials)
>
> Thanks for your help !
>
>     Sebastian
>
>


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