Let S_P be the set of all polynomials P with complex coefficients, such that P\left(x^2\right)=P(x) P(x- 1) for all complex numbers x. Suppose P_0 is the polynomial in S_P of maximal degree such that P_0(1) \mid 2016. Find P_0(10).
Let S_P be the set of all polynomials P with complex coefficients, such that P\left(x^2\right)=P(x) P(x- 1) for all complex numbers x. Suppose P_0 is the polynomial in S_P of maximal degree such that P_0(1) \mid 2016. Find P_0(10).