JEE Math Practice Question

Suppose the cubic $${x^3} - px + q$$ 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 $$\sqrt {{p \over 3}} $$ and maxima at $$-\sqrt {{p \over 3}} $$
2. B.The cubic has minima at $$-\sqrt {{p \over 3}} $$ and maxima at $$\sqrt {{p \over 3}} $$
3. C.The cubic has minima at both $$\sqrt {{p \over 3}} $$ and $$-\sqrt {{p \over 3}} $$
4. D.The cubic has maxima at both $$\sqrt {{p \over 3}} $$ and $$-\sqrt {{p \over 3}} $$