put away vs polish off

put away and polish off both are verbs.

Word	Noun	Adjective	Verb	Adverb
put away	No	No	Yes	No
polish off	No	No	Yes	No

As verbs, polish off is a hypernym of put away; that is, polish off is a word with a broader meaning than put away:

Other hypernyms of put away include eat up, finish.

put away (verb)	polish off (verb)
turn away from and put aside, perhaps temporarily	finish a task completely
eat up; usually refers to a considerable quantity of food	finish eating all the food on one's plate or on the table
kill gently, as with an injection	kill intentionally and with premeditation
place in a place where something cannot be removed or someone cannot escape
stop using
throw or cast away
lock up or confine, in or as in a jail