quadratic vs mathematics

quadratic and mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
quadratic	Yes	Yes	No	No
mathematics	Yes	No	No	No

quadratic (noun)	mathematics (noun)
a polynomial of the second degree	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
an equation in which the highest power of an unknown quantity is a square

quadratic (adjective)	mathematics (adjective)
involving the second and no higher power of a quantity or degree