Question

Solving Polynomial Equations?

Answer 1

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. (Attached)

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 funtion 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.

Answer 2

@phi I really need your help! pLEASE

Answer 3

the first step is draw what this looks like
the roller coaster will dive down in-between buildings, plummet underground, pop back up, and coast over a hill before shooting back underground.

can you do that? numbers don't matter (yet), only the general picture

Answer 4

No I don't know what it would look like...can you please show me?

Answer 5

dive down in-between buildings,

can you show that ?

Answer 6

dive down in-between buildings,
plummet underground,
pop back up,
and coast over a hill before shooting back underground.

that looks close. but notice what they want for the last part

Answer 7

@phi Ok I undersand that. Now what would the polynomial function, f(x), look like?

Answer 8

first, redo your drawing so it goes back under ground at the end
and on the right side show it starting high and going down (not coming out of the ground)

Answer 9

@phi