For every positive integer n consider all polynomials f(x) with integer coefficients, such that for some real number a *x(f(x+a)−f(x))=n*f(x) Find the largest possible number of such polynomials f(x) for a fixed n<1000?

Answer 1

http://www.google.com/search?q=brilliant+For+every+positive+integer+n+consider+all+polynomials+f(x)+with+integer+coefficients&oq=brilliant+For+every+positive+integer+n+consider+all+polynomials+f(x)+with+integer+coefficients&aqs=chrome.0.57.5223j0&sourceid=chrome&ie=UTF-8

Answer 2

No, he isn't cheating since brilliant isn't contest anymore.