Question 174
Let $Q(x) = a_{0} + a_{1} x + \cdots + a_{n} x^{n}$ be a polynomial with integer coefficients, and $0 \leq a_{i} \lt 3$ for all $0 \leq i \leq n$.
Given that $Q(\sqrt{3}) = 20 + 17 \sqrt{3}$, compute $Q(2)$.
Given that $Q(\sqrt{3}) = 20 + 17 \sqrt{3}$, compute $Q(2)$.