Descartes' Rule of Signs by an Easy Induction

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dc.creatorArthan, R. D.
dc.date2007-10-09
dc.date2007-10-14
dc.date.accessioned2026-07-07T08:35:50Z
dc.date.available2026-07-07T08:35:50Z
dc.descriptionIf 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.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/0710.1881
dc.identifierhttp://arxiv.org/abs/0710.1881
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139876
dc.subjectGeneral Mathematics
dc.subject26C
dc.titleDescartes' Rule of Signs by an Easy Induction
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