Homogeneous

Adjective

1. Of the same kind; alike, similar.
2. Having the same composition throughout; of uniform make-up.
3. In the same state of matter.
4. In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.). Of polynomials, functions, equations, systems of equations, or linear maps: Such that all its nonzero terms have the same degree.

   "The polynomial x 2 + 5 x y + y 2 {\displaystyle x^{2}+5xy+y^{2}} is homogeneous of degree 2, because x 2 {\displaystyle x^{2}} , x y {\displaystyle xy} , and y 2 {\displaystyle y^{2}} are all degree 2 monomials"

5. Of polynomials, functions, equations, systems of equations, or linear maps: Such that all its nonzero terms have the same degree.

   "The polynomial x 2 + 5 x y + y 2 {\displaystyle x^{2}+5xy+y^{2}} is homogeneous of degree 2, because x 2 {\displaystyle x^{2}} , x y {\displaystyle xy} , and y 2 {\displaystyle y^{2}} are all degree 2 monomials"