On Nonnegativity of the Generalized Discriminants of Quadratics

Abstract

Discriminants of quadratics have been recently generalized as Δk=k(n−k)cn−k2−(k+1)(n−k+1)cn−k−1cn−k+1 for a polynomial f(x)=cnxn+⋯+c1x+c0 of degree n≥2 for 1≤k≤n−1 and it has been shown that Δ1≥0 i...