Delta Difference Operation Defined over Polynomials of Multiple Terms

In a previous video we discussed the existence of a sequence, and upon taking the difference it equaled a monomial which is a polynomial with just one term. In this video we’re going to extend that idea to a polynomial of multiple terms just like the name conveys.

The overall plan is...not one term but recover multiple terms from a hypothetical space.

Sources:
Gelfand, Gerver, Kirillov, Konstantinov and Kushnirenko - Sequences: 1969, problem 25