polish vs beautify

polish is a noun but beautify is not a noun.

Word	Noun	Adjective	Verb	Adverb
polish	Yes	No	Yes	No
beautify	No	No	Yes	No

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

Other hypernyms of polish include embellish, fancify, prettify.

polish (noun)	beautify (noun)
the property of being smooth and shiny
a highly developed state of perfection; having a flawless or impeccable quality
a preparation used in polishing

polish (verb)	beautify (verb)
bring to a highly developed, finished, or refined state	make more beautiful
improve or perfect by pruning or polishing	make more attractive by adding ornament, colour, etc.
make (a surface) shine	be beautiful to look at