I'm pretty sure I was gonna use synthetic division but I'm stuck. Could you show me answer and steps clearly?

Math 1314 Lab Module 3 Name For each of the following problems, show all work. Simplify and clearly indicate all answers. 1. A ball is thrown vertically upward from the top of a building 160 feet tall with an initial velocity of 48 feet per second. The distance d (in feet) of the ball from the ground after seconds is d(t) = 160 + 48t - 16t a. After how many seconds does the ball strike the ground? Write your answer in a complete sentence with proper grammar and correct spelling. b. When will the ball reach its maximum height? What is the maximum height of the ball? Write your answers in a complete sentence with proper grammar and correct spelling 2. Laura owns and operates Aunt Linda's Pecan Pies. She has learned that her profits, P(x), from the sale of x cases of pies, are given by P(x) = 150x - x2. a. The company will "break-even" when the profit is zero. How many cases of pies should Laura sell in order to break-even? (Solve for x when P(x) = 0.) Write your answer in a complete sentence with proper grammar and correct spelling. b. How many cases of pies should she sell in order to maximize profit? What is the maximum profit? Write your answer in a complete sentence with proper grammar and correct spelling