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?

Question

( A ) The cubic has minima at -$\sqrt\frac{p}{3}$ and maxima at $\sqrt\frac{p}{3}$
( B ) The cubic has maxima at $\sqrt\frac{p}{3}$ and -$\sqrt\frac{p}{3}$
( C ) The cubic has minima at both $\sqrt\frac{p}{3}$ and -$\sqrt\frac{p}{3}$
( D ) The cubic has minima at $\sqrt\frac{p}{3}$ and maxima at -$\sqrt\frac{p}{3}$