[Spidamath]

ช่วยผมแก้ปัญหาหน่อยคับ
1. Let $K=Q(\theta )$, where $\theta$ is a root of the polynomial $x^3-18x-6=0$.
2. Let $K=Q(\theta )$, where $\theta$ is a root of the polynomial $x^3-35x-78=0$.
Show that in two cases, $\{1,\theta ,\theta ^2\}$ is an integral basis, and $\Delta K=22356.$

$\Delta K$ คือ discriminant of the set $K$ ครับ