Question 13
Determine all polynomials $P(x) \in \mathbb{R}[x]$ satisfying the following two conditions:
(a) $P(2017) = 2016$ and
(b) $(P(x)+1)^2 = P(x^2+1)$ for all real numbers $x$.
(a) $P(2017) = 2016$ and
(b) $(P(x)+1)^2 = P(x^2+1)$ for all real numbers $x$.