Criteria for a split real polynomial

In this article, we establish necessary and sufficient conditions for a polynomial of degree \(n\) to have exactly \(n\) real roots. A complete study of polynomials of degree five is carried out. The results are compared with those obtained using Sturm sequences.

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Bibliographic Details
Published in:arXiv.org 2024-03
Main Authors: Billiot, Jean-Michel, Fontenas, Eric
Format: Article
Language:English
Subjects:
Polynomials
Online Access:Get full text
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Description
Summary:In this article, we establish necessary and sufficient conditions for a polynomial of degree \(n\) to have exactly \(n\) real roots. A complete study of polynomials of degree five is carried out. The results are compared with those obtained using Sturm sequences.
ISSN:2331-8422