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Properties of the Quartic Equation

  • Year 2022
  • NSF Award #1660606
  • Registration Current Noyce Scholar

  • First Name Charles
  • Last Name Bland

  • Discipline Mathematics
  • Institution Eastern Washington University

Abstract

At the moment there are two formulas that are primarily used when it comes to solving for the roots of a polynomial, the quadratic equation and the cubic equation. When it comes to quartic equations there is a formula to use to find the roots but unlike with the quadratic and cubic formula it’s so complicated that there has been no reason to teach it. The purpose of this independent study was to determine whether there is a way to create a simplified quartic equation. This poster presents my observations regarding the properties of quartic equations. These observations were made by making use of the properties associated with the quadratic and cubic equation and polynomials of said degrees.

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This material is based upon work supported by the National Science Foundation (NSF) under Grant Numbers DUE-2041597 and DUE-1548986. Any opinions, findings, interpretations, conclusions or recommendations expressed in this material are those of its authors and do not represent the views of the AAAS Board of Directors, the Council of AAAS, AAAS’ membership or the National Science Foundation.

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