Vector Spaces & Bases · Medium problem

Relative to the basis $\{1,\ x-2,\ (x-2)^2\}$ of $P_2$, a polynomial $p$ has coordinates $(3,-1,2)$, meaning $p(x) = 3\cdot 1 - 1\cdot(x-2) + 2\cdot(x-2)^2$. Find $p(5)$.