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IM Alg1.7.4 Lesson: Solving Quadratic Equations with the Zero Product Property

What values of the variables make each equation true?

For each equation, find its solution or solutions. Be prepared to explain your reasoning.

Use factors of 48 to find as many solutions as you can to the equation

Once you think you have all the solutions, explain why these must be the only solutions.

We have seen quadratic functions modeling the height of a projectile as a function of time. Here are two ways to define the same function that approximates the height of a projectile in meters, seconds after launch:   Which way of defining the function allows us to use the zero product property to find out when the height of the object is 0 meters?

Without graphing, determine at what time the height of the object is 0 meters. Show your reasoning.