IM Alg1.7.9 Solving Quadratic Equations Using Factored Form

This GeoGebra activity demonstrates how to solve quadratic equations by using the factored form of a quadratic function. Students enter a quadratic expression, apply the factor() command to obtain its factored form, then use the Solve() command to find the roots and visualize the parabola intersecting the x‑axis. The construction highlights key concepts such as the zero‑product property, the relationship between the roots and the coefficients, and the geometric meaning of solutions on the coordinate plane. The example includes sliders to adjust the coefficients a, b, c, allowing learners to observe how the parabola shifts and how the number of real roots changes (two distinct, one repeated, or none). Suitable for middle‑school or Algebra 1 lessons on quadratic equations, as well as for review and interactive practice.