Factoring a quadratic trinomial when a=1 to find the solutions

The video tutorial explains how to solve quadratic equations by setting them to zero and factoring. It covers the process of identifying numbers that multiply to give a constant and add to give a coefficient. The tutorial demonstrates factoring trinomials into binomials and verifies the process using the FOIL method. Finally, it solves the equation using the zero product property.

How do you verify that your factors are correct after factoring?

What is the zero product property and how is it applied in this context?