(i) Show that (x - 1) is a factor of x^3 - 4x^2 +4x - 1 and hence find the other factors.

(ii) Hence or otherwise find the maximum and the minimum points of the function f(x) = 2x^(5/2) +5x^2 - 5x +1.

I managed to work out part (i) but I can't see how I can use part(i) to solve part (ii). I am not noticing any relationship between them.

NO IDEA

Thanks in advance for any help.