Bezoutians and the discriminant of a certain quadrinomials

Abstract

We give an explicit formula for the discriminant ${\Delta }_f(x)$ of the quadrinomials of the form $f(x)=x^n+t(x^2+ax+b)$. The proof uses Bezoutians of polynomials.

References in corpus (2)

• The Satake sextic in elliptic fibrations on K3
• Rational points in the moduli space of genus two