On arrangements of real roots of a real polynomial and its derivatives

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63885We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its $s$-th derivative are realizable by real polynomials.To appear in Serdica Math. J. 29 (2003)Algebraic GeometryOn arrangements of real roots of a real polynomial and its derivativestext