On Algebraic Solutions of Polynomial Equations of Degree n in one Variable

Gerry Martens

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On Algebraic Solutions of Polynomial Equations of Degree n in one Variable

Gerry Martens

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Abstract

We will show that the roots of a polynomial equation in one variable of degree n are related to the solutions of a symmetric quadratic form in n-1 variables with constant positive integer coefficients. The classic polynomial notation will be rewritten to define a characteristic discriminant of a polynomial of degree n. A new set of characteristic roots allows expressing the characteristic discriminant as the result of a symmetric quadratic form.

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Gerry Martens. 2006-05-07. On Algebraic Solutions of Polynomial Equations of Degree n in one Variable. https://arxiv.org/abs/math/0605183

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