I need help factoring \begin{align} x^3-3x^2+30x-1=0.\tag{1} \end{align} Any thoughts? I've tried the old guess and check method with long division and $\left(x-\frac{1}{2}\right),\left(x-1\right),\left(x-12\right),\left(x-6\right)$, all to no avail.
Thank you for your time,
Do not look for a neat number(check wolframalpha)