1540s, from L. exterminare "drive out, expel," also, in L.L. "destroy," from phrase ex termine "beyond the boundary," from ex- "out of" + termine, abl. of termen "boundary, limit, end." Related: Exterminated; exterminating; exterminator.
1540s, from L. exterminationem, noun of action from exterminare (see exterminate).