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4.05 Solving Polynomial Equations
NOTE: ThIs is also offered as a collaborative Live Lesson weekly, if you choose to complete it
that way instead. Schedule:
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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
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___
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.
Using both fundamental Theorem and Descartes` rule of signs, prove to the construction
foreman that your function matches your graph. Use complete sentences.
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.
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