How to Solve Quadratic Equations by Factoring

Quadratic equations can be solved effectively by factoring. In South Africa, Grade 11 students learn how to use this method in their math curriculum. To solve a quadratic equation of the form $ax^2 + bx + c = 0$, where $a \neq 0$, factorize it into two binomial equations and solve for the roots. For example, for the equation $x^2 - 5x + 6 = 0$, factor it into $(x - 2)(x - 3) = 0$ and solve for $x$. This method is essential for mastering algebra and understanding the properties of quadratic equations.