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<p>We briefly introduce the resultant of two polynomials and prove its main properties. We illustrate how to use this tool in many mathematical problems that involve polynomials or rational functions. Finally, we show its utility to face several questions appearing in the study of some dynamical systems.</p>

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A Primer on Resultants and Their Applications

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月28日

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  • Armengol Gasull

摘要

We briefly introduce the resultant of two polynomials and prove its main properties. We illustrate how to use this tool in many mathematical problems that involve polynomials or rational functions. Finally, we show its utility to face several questions appearing in the study of some dynamical systems.