The force $$F(x)$$ acting on a body of mass $$m$$ changes with position $$x$$ in metre as shown. It is given that the potential energy $$U(x)=0$$ at $$x=0$$. Choose correct option(s).

A

$$U(x)=0$$ at $$x=0,\ 3,\ 6$$

B

$$U(x)=2x^2-12x$$ for $$2\le x\le4$$

C

$$U(x)=-x^2+12x-40$$ for $$4\le x\le6$$

D

At $$x=3$$, $$U(x)=-10\,\text{J}$$