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arXiv · 2403.19692

Criteria for a split real polynomial

Jean-Michel Billiot·Eric Fontenas
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Abstract

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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Jean-Michel Billiot, Eric Fontenas. 2024-03-06. Criteria for a split real polynomial. https://arxiv.org/abs/2403.19692

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