Question 9
Determine all polynomials $P(x)$ with real coefficients that satisfy the following two conditions:
a. $P(2017) = 2016$ and
b. $(P(x) + 1)^2 = P(x^2 + 1)$ for all real numbers $x$.
(Walther Janous)
a. $P(2017) = 2016$ and
b. $(P(x) + 1)^2 = P(x^2 + 1)$ for all real numbers $x$.
(Walther Janous)