[Algebra] Is there any cubic formula?

In yesterday's video, we tried to solve an inequality of rational functions (functions in fraction form for both numerator the top part and denominator the bottom part being polynomials) but ended up with one of the factors a cubic polynomial that was not factorable with integer coefficients. It led us to the following question: is there any way that we can solve such a cubic polynomial?

In math class, we learn that for any quadratic equation, there exists a general solution called the quadratic formula; today, we are trying to figure out a general solution for an arbitrary cubic equation, a.k.a. the cubic formula, by using Cardano's method.

The remaining derivation of the cubic formula is in the next video:
   • [Algebra] Find out the remaining solu...