#cultofintelligence In this video, we explore how old school algebra techniques and new school technology can work together to deepen understanding of polynomial factoring and rational roots. We use classic paper-and-pencil methods like long division, the Rational Root (or p/q) Theorem, and factoring by grouping, all scaffolded by the free, beautiful Desmos graphing calculator at https://www.desmos.com/calculator. We begin old school, using polynomial long division to find a

#cultofintelligence In this video, I walk through a real discussion question from one of my math classes, but the ideas go far beyond a single assignment. You will see how to solve second- and third-degree polynomial equations by factoring, with a special focus on the AC method for trinomials and factoring by grouping for cubic (third-degree) polynomials. I also demonstrate how to check solutions by substitution, plugging values back into the original equation to confirm they