When it comes to quadratic polynomials — which seem to come in all different forms and sizes — most of us have spent at least a semester just learning about how to maneuver around them.
Indeed, when we look through a standard pre-college math curriculum pertaining to quadratic expressions, we would stumble upon topics such as Square of a Sum, Square of a Difference, Completing the Square, Direct Factoring, Grouping, Difference of Squares. AC method (if you’re lucky) and Quadratic Formula — among others.
In what follows though, we will — in addition to putting some of these techniques into good use — develop a general technique for factorising any kind of quadratic polynomials. And yes — it would also include those with complex numbers as coefficients. 🙂 More