How to factor out the GCF to solve a quadratic for two solutions

The video tutorial explains how to solve quadratic equations by setting y or F(x) to zero. It introduces factoring, focusing on identifying the greatest common factor (GCF) and rewriting expressions as multiplication. The tutorial demonstrates using the distributive property to verify work and explains the zero product property, which states that if a product of two expressions equals zero, at least one of the expressions must be zero. The video concludes with solving equations using these methods.

Describe the process of checking your work after factoring an expression.

What does the zero product property state?