VMO 1988 Problem 2

The real polynomial p(x) = $x^n$ - $nx^{n-1}$ + ($n^2$-n)/2 $x^{n-2}$ + $a_{n-3}x^{n-3}$ + ... + $a_1$x + $a_0$ (where n > 2) has n real roots. Find the values of $a_0$, $a_1$, ... , $a_{n-3}$.