Differentiability Of A Piecewise Function

Let the function $f$ be defined by $f(x) = \begin{cases} \frac{x^3-8}{x-2} & \text{if } x < 2 \\ ax^2 + bx + c & \text{if } x \ge 2 \end{cases}$. For what values of the constants $a, b,$ and $c$ is the function $f$ differentiable at $x=2$?