Po-Shen Loh’s Method: Solve Quadratics WITHOUT the Quadratic Formula
Most students learn to solve quadratic equations by factoring, completing the square, or using the quadratic formula. But what if there were another way to solve quadratics using something you already know—the axis of symmetry? In this video, you’ll learn Po-Shen Loh’s method for solving quadratic equations, an alternative approach that uses the relationship between […]
Who Created the Quadratic Formula?
Did someone actually create the quadratic formula, or does it come from somewhere else? In this lesson, we’ll start with the standard form of a quadratic equation and use the process of completing the square to derive the quadratic formula step by step. You’ll see that the quadratic formula isn’t magic and wasn’t simply invented […]
Why is there a ± for quadratics?
Why do we write ± when solving quadratic equations, but not when evaluating square roots? In this lesson, we’ll explore one of the most common misconceptions in algebra and uncover the reasoning behind it. You’ll learn how functions, inverses, and solving equations are connected, and why: ✔️ √25 = 5 ✔️ x² = 25 has […]
Factoring Trinomials When the Leading Coefficient is not 1
In this video, I show you how to factor trinomials when the leading coefficient isn’t 1 using the Bodine Method. Many students get stuck when the coefficient of x 2 is greater than 1, but this approach breaks the process into simple, logical steps that are easy to follow. You’ll learn: How to identify the […]