(a)[3]
Determine the quotient when $x^4 - 32x + 55$ is divided by $(x - 2)^2$ and show that the remainder is $7$.
(b)[2]
Factorise the expression $x^4 - 32x + 48$.
(c)[2]
Hence solve the equation $e^{-12y} - 32e^{-3y} + 48 = 0$, giving your answer in exact form.