Roots of Polynomial Equations using the Bolzano-Cauchy Theorem
DOI:
https://doi.org/10.20873/uft.2675-3588.2024.v5n1.p5-10Keywords:
Bolzano-Cauchy theorem, Roots of polynomial equations, ApplicationsAbstract
In this article we present a proof (accessible to high school students) of an important corollary of the Bolzano-Cauchy Theorem that guarantees, under certain conditions, roots of polynomial equations. We expose the theoretical results necessary for a desirable understanding of it, always illustrating them through examples and comments. And finally, we seek to show the importance of the Corollary by presenting some of its various applications.
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Published
2023-12-11
How to Cite
[1]
Pereira, P.H. de A. and Rocha, R.A. 2023. Roots of Polynomial Equations using the Bolzano-Cauchy Theorem. Academic Journal on Computing, Engineering and Applied Mathematics. 5, 1 (Dec. 2023), 5–10. DOI:https://doi.org/10.20873/uft.2675-3588.2024.v5n1.p5-10.
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Copyright (c) 2023 Paulo Henrique de Araujo Pereira, Rogério Azevedo Rocha
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