Question

First, here is the existing map of current structures. It is important that the rollercoaster 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 rollercoaster. 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 rollercoaster. If your y–intercept is off the graph, give the coordinates of the y–intercept

im on number 2 have number 1 answered

Answer 1

What your question

Answer 2

First, here is the existing map of current structures. It is important that the rollercoaster 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 rollercoaster. 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 rollercoaster. If your y–intercept is off the graph, give the coordinates of the y–intercept.

Answer 3

@ranga

Answer 4

http://assets.openstudy.com/updates/attachments/533a20fce4b0720dc69b793f-princessalexis-1396318556136-04_05_assessment.jpg

Answer 5

@Lyssa123 do you see the questions

Answer 6

yea an I do flvs too

Answer 7

did you do this assingment and what are you taking?

Answer 8

math

Answer 9

algebra 2?

Answer 10

@ranga help please

Answer 11

Looks as though neither you nor your graph ever crashes through the roller coaster foundation.

However, you do touch the foundation at 3 different x-values: {-7,-2,6}. Hope you're well padded to avoid injury.

Those x-values are called "roots" of the polynomial in question.

The root -7 becomes the factor (x+7); -2 => (x+2); and 6=> (x-6).
Multiply any two of these factors together and simplify the result. Then mult. that result by the remaining factor; the result will the the polynomial you wanted!

Answer 12

so my equation is f(x)=(x+7)(x+2)(x-6)?

Answer 13

yes

Answer 14

so now i multiply

Answer 15

x=6⟹x−6=0⟹(x−6)=0x=−2⟹x+2=0⟹(x+2)=0x=−7⟹x+7=0⟹(x+7)=0(x−6)(x+2)(x+7)=0⟹⟹(x−6)(x+2)(x+7)=original polynomial

Answer 16

ok im lost lol

Answer 17

(6,0) and (-2,0) and (-7,0) are points on the x-axis; they're not factors.
what I was trying to tell you was that if one root is 6, one factor is (x-6); if another root is -2, the corresponding factor is (x-[-2]). What is the third factor?

To get started finding your polynomial, please multiply together (x-6) and (x+2).

Answer 18

(x-6)(x+2)=x^2-4x-12? is this correct

Answer 19

so how do i answer the first question

Answer 20

to finf the function thats what we're doing now

Answer 21

Right. So, now you have three horiz. intercepts, (6,0) and (-2,0) and (-7,0) , and you have three factors, (x-6),(x+2) and (x+7).

Now, with x^2-4x-12 in hand, multiply this polynomial by the third factor, (x+7). Combine like terms. Write your function so that all powers of x are in descending order.

Then you'll have your polynomial.

Answer 22

hold on a sec let me go get a calculator back in 2 min promise

Answer 23

ok

Answer 24

back going to do the math now

Answer 25

ok
Your function / your polynomial is f(x)=x^3 + x^2 -28x -12x - 84

Answer 26

ok and my calculator is acting stupid and let me log this real quick

Answer 27

ok

Answer 28

ok so for the first question i log what i multipled right just asking

Answer 29

yes

Answer 30

ok so #2 now

Answer 31

Using both fundamental Theorem and Descartes` rule of signs, prove to the construction foreman that your funtion matches your graph. Use complete sentences#2

Answer 32

still there?

Answer 33

@ranga help please @math92130 help

Answer 34

@m&msdoodle @Brainybeauty

Answer 35

@camerondoherty @just_one_last_goodbye

Answer 36

@Luigi0210 i heard you were great can you help me please ill give you medal

Answer 37

can you help please its urgent

Answer 38

@tHe_FiZiCx99

Answer 39

thanks @luigi0210

Answer 40

what is the answer to the quation 2. Using both fundamental Theorem and Descartes` rule of signs, prove to the construction foreman that your funtion matches your graph. Use complete sentences.