A polynomial JG-0-JG of degree JG-1-JG is called homogeneous if JG-2-JG for all constants JG-3-JG .

An equivalent definition is that all terms of the polynomial have the same degree (i.e. JG-4-JG ).

Observe that a polynomial JG-5-JG is homogeneous iff JG-6-JG .

As an important example of homogeneous polynomials one can mention the symmetric polynomials.