Find all polynomials P(x) with real coefficients that satisfy the relation 1+P(x)=P(x−1)+P(x+1)2.
Source: Moldova 2000 Grade 11 P4
Tags: functional equation, fe, polynomial, algebra
Find all polynomials P(x) with real coefficients that satisfy the relation 1+P(x)=P(x−1)+P(x+1)2.