4.05 Solving Polynomial Equations Name: TYPE NAME HERE NOTE: ThIs is also offered as a collaborative Live Lesson weekly, if you choose to complete it that way instead. Schedule: http://bit.ly/AlgIILiveLessonsv13 Need help on this assignment? Check out our resource page: http://bit.ly/AlgIIResv13 Welcome to Oakville Lake Amusement Park! As one of the new roller coaster engineers, you have been tasked with developing a roller coaster that will intertwine with existing Oakville Lake Amusement Park structures. For one of the more thrilling sections, the roller coaster will dive down in-between buildings, plummet underground, pop back up, and coast over a hill before shooting back underground. There must be three distinct points where the roller coaster crosses the x–axis. Precise measurements and attention to detail are very important. First, here is the existing map of current structures. It is important that the roller coaster does not go through the foundation of any of these structures. 1st point: ___6___ 2nd point:___-2___ 3rd point: ___-7___ 1. Using the points above as zeros, construct the polynomial function, f(x), that will be the path of your roller coaster. Show all of your work. 2. Using both fundamental Theorem and Descartes` rule of signs, prove to the construction foreman that your function matches your graph. Use complete sentences. 3. Solve for the y–intercept for your function, f(x), and then construct a rough graph of your roller coaster. If your y–intercept is off the graph, give the coordinates of the y–intercept. Save this file as 405 Assignment and turn in.