Find the roots of an equation

I want to find the roots of this equation:
$$ p (x) = (x ^ 2-1) prod_ {k = 1} ^ {n-2} (x-2cos ( frac {k pi} {n-1})) – x ^ 2 prod_ {k = 1} ^ {n-3} (x-2cos ( frac {k pi} {n-2})) $$
I'm trying to find the roots but I can not.
Any type of suggestion is appreciated. Thank you all for the help.