CORRECTION: 0:35 should say "intersects y = 0"! A proof of the quadratic formula and its implications. Hope you enjoy, feedback is appreciated!

Support the channel and access exercise sheets (with solutions)/early videos on Patreon:   / pisquared  

Chapters:

0:00 Introduction
0:54 History of the Quadratic Formula
1:52 Solving the General Quadratic Equation
3:42 Interpreting the Quadratic
4:57 The Broader Problem of Factoring Polynomials
6:04 Motivating Abstract Algebra/ End