The question is as shown below.
When a polynomial $g(x)$ is divided by $x^2 - 4$, the remainder is $\alpha x + \beta$, where $\alpha$ and $\beta$ are constant. Determine the values of $\alpha$ and $\beta$ given that $x + 2$ is a factor of $g(x)$, and also that when $g(x)$ is divided by $x-2$ the remainder is $6$.
