2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75042This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)Commutative Algebra12E05; 11C08A simple proof of a conjecture on univariate polynomials and their rootstext