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?

A

The cubic has minima at $$\sqrt{\frac{p}{3}}$$ and maxima at $$-\sqrt{\frac{p}{3}}$$

B

The cubic has minima at $$-\sqrt{\frac{p}{3}}$$ and maxima at $$\sqrt{\frac{p}{3}}$$

C

The cubic has minima at both $$\sqrt{\frac{p}{3}}$$ and $$-\sqrt{\frac{p}{3}}$$

D

The cubic has maxima at both $$\sqrt{\frac{p}{3}}$$ and $$-\sqrt{\frac{p}{3}}$$