%0 Journal Article %T On Algebraic Solutions of Polynomial Equations of Degree n in one Variable %A Gerry Martens %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0605183v1