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?

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) The cubic has minima at $\left(2\right)||\sqrt{\left(4\right)\left(5\right)\left(6\right)\frac{p}{7}3\left(8\right)\left(9\right)\left(10\right)}\left(11\right)\left(12\right)$(13) and maxima at $\left(14\right)\left(15\right)-\sqrt{\left(16\right)\left(17\right)\left(18\right)\frac{p}{19}3\left(20\right)\left(21\right)\left(22\right)}\left(23\right)\left(24\right)$ (26) The cubic has minima at $\left(27\right)\left(28\right)-\sqrt{\left(29\right)\left(30\right)\left(31\right)\frac{p}{32}3\left(33\right)\left(34\right)\left(35\right)}\left(36\right)\left(37\right)$(38) and maxima at $\left(39\right)\left(40\right)\sqrt{\left(41\right)\left(42\right)\left(43\right)\frac{p}{44}3\left(45\right)\left(46\right)\left(47\right)}\left(48\right)\left(49\right)$ (51) The cubic has minima at both $\left(52\right)\left(53\right)\sqrt{\left(54\right)\left(55\right)\left(56\right)\frac{p}{57}3\left(58\right)\left(59\right)\left(60\right)}\left(61\right)\left(62\right)$(63) and $\left(64\right)\left(65\right)-\sqrt{\left(66\right)\left(67\right)\left(68\right)\frac{p}{69}3\left(70\right)\left(71\right)\left(72\right)}\left(73\right)\left(74\right)$ (76) The cubic has maxima at both $\left(77\right)\left(78\right)\sqrt{\left(79\right)\left(80\right)\left(81\right)\frac{p}{82}3\left(83\right)\left(84\right)\left(85\right)}\left(86\right)\left(87\right)$(88) and $\left(89\right)\left(90\right)-\sqrt{\left(91\right)\left(92\right)\left(93\right)\frac{p}{94}3\left(95\right)\left(96\right)\left(97\right)}\left(98\right)\left(99\right)$(100)