polish off

verbs

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