f(x)=x^3-3x+2
=(x^3-x)-(2x-2)
=x(x+1)(x-1)-2(x-1)
=(x-1)(x^2+x-2)
=(x-1)^2(x+2)
>0
则x+2>0且x-10.
所以,解集为：(-2,1)U(1,+无穷).