Descartes' Rule of Signs by an Easy Induction

Details Descartes' Rule of Signs by an Easy Induction Descartes' Rule of Signs by an Easy Induction

2007-10-09

arxiv.org/abs/0710.1881v2

Mathematics

General Mathematics

3 pages

Scientific paper

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.

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