# Is there a such thing as a Homogenous Monomial

Is there a word for a monomial in only one variable? Let me explain: consider the homogenous polynomial

$$x_1^5 + x_1^4 x_2 + \cdots + x_2^5$$.

I there a term for the two terms at the ends? $$x_1^5$$ and $$x_2^5$$. I feel like the term should be "the homogenous monomials of the homogenous polynomial" but this sounds kinda funky.

• Every monomial is homogeneous. I don't know a term, although you could just say that these monomials involve one variable only. – Ted Shifrin Sep 17 '19 at 18:15