2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130620Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it. Polynomials P_nk(x) naturally arise in Schubert calculus, see ArXiv e-print math.RT/0409329 by I.Scherbak.LaTeX, 6 pages, to appear in Rocky Mountains J. MathNumber TheoryRings and Algebras12E05 (Primary) 11C08, 11R09, 14M15, 26C10 (Secondary)On the irreducibility of a truncated binomial expansiontext