Question 62
Find all positive integers $a_0$, $a_1$, $a_2$, $b_0$, $b_1$, $b_2$ such that
$a_2 b_2 n^2 + a_1 b_1 n + a_0 b_0$ divides $(a_2^{2017n} + b_2)n^2 + (a_1^{2017n} + b_1)n + (a_0^{2017n} + b_0)$ for any positive integer $n$.
$a_2 b_2 n^2 + a_1 b_1 n + a_0 b_0$ divides $(a_2^{2017n} + b_2)n^2 + (a_1^{2017n} + b_1)n + (a_0^{2017n} + b_0)$ for any positive integer $n$.