Suppose the cube $x^3-px+q$ has three distinct real roots where $p>0$ and $q>0$. Then which one of the following holds?

1. A
   The cubic has minima at $\sqrt{p/3}$ and maxima at $-\sqrt{p/3}$
2. B
   The cubic has minima at $-\sqrt{p/3}$ and maxima at $\sqrt{p/3}$
3. C
   The cubic has minima at both $\sqrt{p/3}$ and $-\sqrt{p/3}$
4. D
   The cubic has maxima at both $\sqrt{p/3}$ and $-\sqrt{p/3}$