quadratic vs multinomial

quadratic and multinomial both are nouns.

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

As nouns, multinomial is a hypernym of quadratic; that is, multinomial is a word with a broader meaning than quadratic:

Other hypernyms of quadratic include polynomial.

quadratic (noun)	multinomial (noun)
a polynomial of the second degree	a mathematical function that is the sum of a number of terms
an equation in which the highest power of an unknown quantity is a square

quadratic (adjective)	multinomial (adjective)
involving the second and no higher power of a quantity or degree	having the character of a polynomial