Find the splitting field of x^2+x+1 over Q. Also, give the roots as complex numbers in polar form and the field in the form Q(a.)
are you saying that you can't even solve a quadratic equation?!! put $\displaystyle \xi=\frac{1}{2} + \frac{\sqrt{3}}{2}i$ and show that the splitting field is $\displaystyle \mathbb{Q}(\xi).$