wrap up vs polish off

wrap up and polish off both are verbs.

Word	Noun	Adjective	Verb	Adverb
wrap up	No	No	Yes	No
polish off	No	No	Yes	No

As verbs, wrap up and polish off are synonyms defined as:

Other synonyms of wrap up include clear up, finish off, finish up, get through, mop up.

wrap up (verb)	polish off (verb)
clothe, as if for protection from the elements	finish a task completely
form a cylinder by rolling	finish eating all the food on one's plate or on the table
finish a task completely	kill intentionally and with premeditation
arrange or fold as a cover or protection