2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61904We present formulas for computing the resultant of sparse polynomials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the original formulation given by Macaulay for homogeneous polynomials.43 pages, revised version accepted for publication in Transactions of the AMSAlgebraic Geometry14Q99; 68W30text