Question

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.

Answer 2

https://lti.flvsgl.com/content/70cdpftp42oqe4fn0rokc3t675/educator_algebraII_v13_2_gs/module04/images/04_05_assessment/04_05_assessment.jpg

Answer 3

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___

Answer 4

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 5

@Data_LG2 help!

Answer 6

Pretty simple stuff, I guess. Just need help with 1, 2, and 3 up there ^

Answer 7

oh so you already chose x= 6, -2, and -7 as your points on the x=axis and you just have to create a polynomial out of it?

Answer 8

Yes, that's right :) What would the polynomial be?

Answer 9

since, those are your three points, you can start your function like this:

f(x)= (x-6)(x+2)(x-7)
0= (x-6)(x+2)(x-7)

just expand it

Answer 10

**three points- i mean zeros

Answer 11

expand it?

Answer 12

my bad, supposed to be
0= (x-6)(x+2)(x+7)

Answer 13

that's the final answer?

Answer 14

well there is an is problem in the zeros you have chosen don't meet the conditions...