For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a

Question

x(f(x+a)−f(x))=nf(x)
Find the largest possible number of such polynomials f(x) for a fixed n<1000.

Answer 1

Looks like you're not Brilliant after all.

Answer 2

"lin" also needs to learn how to spell "help" ... and that there is no class called "heeeeeeelp math" -- incredible inability to follow directions.