Question 26
Let $Q$ be a polynomial
$$
Q(x) = a_{0} + a_{1} x + \cdots + a_{n} x^{n}
$$
where $a_{0}, \ldots, a_{n}$ are nonnegative integers. Given that $Q(1) = 4$ and $Q(5) = 152$, find $Q(6)$.
$$
Q(x) = a_{0} + a_{1} x + \cdots + a_{n} x^{n}
$$
where $a_{0}, \ldots, a_{n}$ are nonnegative integers. Given that $Q(1) = 4$ and $Q(5) = 152$, find $Q(6)$.