In this lesson, students learn about the zero product property. They use it to reason about the solutions to quadratic equations that each have a quadratic expression in factored form on one side and zero on the other side. They see that when an expression is a product of two or more factors and that product is zero, one of the factors must be zero. This fact enables us to find unknown values in the factored expression.

Students make use of the structure of a quadratic expression in factored form and the zero product property to understand the connections between the numbers in the expression and the -intercepts of its graph (MP7).