Question

FAN AND MEDAL!! 04.05 Solving Polynomial Equations

Answer 1

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___

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 funtion 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.

Answer 2

I've already started, just need some help with tweaking

Answer 3

Fun problem (once we understand it).

Need clarification on those points / zeros:

By

1st point: ___6___
2nd point:___-2___
3rd point: ___-7___

do you mean (6,0), (-2,0) and (-7,0)?? Your notation here is unusual.

Glad to hear you've started the problem. But to give you any meaningful feedback, I'd need to see your work. Alternately, I'd need specific questions from you about what is not yet clear for you.

Answer 4

Here is what I have

Answer 5

@mathmale

Answer 6

I'm able to open and view your document, but see that the points you're using don't seem to stem from the current problem, but rather from an example, perhaps something you saw in class. I need for you to answer my questions (e. g., that regarding notation) and to explain what you need from me.

Answer 7

Are you a teacher?