Descartes' Rule of Signs by an Easy Induction
General Mathematics
2007-10-14 v2
Abstract
If c is a positive number, Descartes' rule of signs implies that multiplying a polynomial f(x) by c - x introduces an odd number of changes of sign in the coefficients. We turn this around, proving this fact about sign changes inductively and deriving Descartes' rule from it.
Cite
@article{arxiv.0710.1881,
title = {Descartes' Rule of Signs by an Easy Induction},
author = {R. D. Arthan},
journal= {arXiv preprint arXiv:0710.1881},
year = {2007}
}
Comments
3 pages