What is the greatest monomical factor of <span title="15x^3y^2+45x^2y^2+30x^2y^3?">15x^3y^2+45x^2y^2+30x^2y^...</span>

Question

(what does monomical mean? you dont need to answer that)

a. 15x^2y^2

b. 15x^2y^3

c. 15x^3y^2

d. 15x^3y^3

Answer 1

A monomial is a product of positive integer powers of a fixed set of variables, for example x^2y^2 in your example.

&quot;Greatest&quot; refers to the greatest monomial (integer coefficient included) that one can divide on the three terms. In this case that is 15 x^2y^2.