How to Solve Cubic Equations with Complex Roots

Learn the steps required to solve a cubic equation which has one real and two complex roots. Begin solving our cubic equation by applying the rational roots theorem, this will find us a rational root (if any exist) which we can then use to factor out of our cubic equation through long division. This will reduce our cubic problem to a quadratic which has the same roots as our original cubic equation and give us our remaining two complex roots when solved. Music by Adrian von Ziegler