Writing Quadratic Equations from Sum and Product of Roots

The Organic Chemistry Tutor

This instructional video provides a clear, step-by-step tutorial on how to construct a quadratic equation in standard form when provided with the sum and product of its roots. The video begins by deriving the formula $x^2 - (Sum)x + (Product) = 0$ from the standard form $ax^2 + bx + c = 0$, demonstrating the mathematical relationship between coefficients and roots. This theoretical foundation helps students understand the 'why' behind the formula rather than just memorizing steps.