Okay. I need to learn the steps to factor the following. As in the proof itself.
-> ax^3 + bx^2 + cx + d = 0
I don't CARE if you don't solve the actual equation, just tell me some methods I could use to factor it!!
identify potential rational roots which would correspond to factors with
rational nubers in them. This is not guaranteed to work because
there is no guarantee that a general cubic has any rational roots.
Cardano method. (As well as some others. Cardano's method is the most basic and the one I'm sure you will want to use if you want to use it.) I warn you: it is not pretty!