x5-3x4+2x3-x2+3x-2
=x^3(x^2-3x+2)-(x^2-3x+2)
=(x^3-1)(x^2-3x+2)
=(x-1)(x^2+x+1)(x-1)(x-2)
=(x-1)^2(x-2)(x^2+x+1)