polish off vs wrap up

polish off and wrap up both are verbs.

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

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

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

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