We propose a class of forward-backward asymmetries with respect to the subprocess c.m. scattering angle in Vϩjet production at hadron colliders, with V being any of (W,Z,␥,H), which are directly proportional to the gluon distribution g(x). The information that these asymmetries can provide is complementary to that reachable from measurements of the transverse momentum and/or the rapidity distributions of a V in kinematical regimes where gluon scattering subprocesses dominate. The accuracy which can be reached in the W, Z and ␥ cases, at the upgraded Fermilab Tevatron and at CERN LHC, should allow a considerable improvement of our knowledge of the gluon distribution function, especially at large x. ͓S0556-2821͑99͒04801-8͔