polish vs burnish

polish and burnish both are nouns.

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

As nouns, polish and burnish are synonyms defined as:

Other synonyms of polish include gloss, glossiness.

As verbs, burnish is a hyponym of polish; that is, burnish is a word with a more specific, narrower meaning than polish:

Other hyponyms of polish include Simonise, Simonize, sleek, slick, buff, furbish, gloss.

polish (noun)	burnish (noun)
the property of being smooth and shiny	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)	burnish (verb)
bring to a highly developed, finished, or refined state	polish and make shiny
improve or perfect by pruning or polishing
make (a surface) shine