WordNet (r) 3.0 (2006):

polish off
    v 1: finish a task completely; "I finally got through this
         homework assignment" [syn: get through, wrap up,
         finish off, mop up, polish off, clear up, finish
         up]
    2: kill intentionally and with premeditation; "The mafia boss
       ordered his enemies murdered" [syn: murder, slay, hit,
       dispatch, bump off, off, polish off, remove]
    3: finish eating all the food on one's plate or on the table;
       "She polished off the remaining potatoes" [syn: eat up,
       finish, polish off]