50 POINTS
1. A child launches a toy rocket from the top of a slide at the park. Suppose the equation
−162 + 28 + 8 = 0 can be used to find how many seconds it will take for the rocket to hit the ground.
a. Write the equation in factored form. [Hint: factor out a -4 first]
b. Use the zero product property to solve the equation. Show all the steps needed to find both answers.
c. Pick the logical answer. Why does the other answer not make sense? Explain how your solution relates to this situation. Put your answer into the sentence.