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A polar asymmetry of electro-optical behavior has been studied for a liquid-crystal cell, one electrode of which is covered by a thin film of a ferroelectric polymer. A well-known copolymer PVF2–TrFE (70:30) previously poled by a corona discharge has been used to modify the quadratic electro-optical response of the nematic mixture in a hybrid cell. The voltage for the onset of switching becomes polarity dependent. A simple model of an internal electric field created by a poled ferroelectric and built in the nematic layer is discussed, which is consistent with the sign and general features of the effect.