Question

Check my work, please :D
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.

6, -2, -7

(x + 6) (x - 2) (x - 7)
(x^2 – 2x + 6x – 12) (x – 7)
(x^2 + 4x – 12) (x – 7)
X^3 + 4x^2 – 12x – 7x^2 – 28x + 84
X^3 + 3x^2 - 40x + 84

I'm not sure if this is right or not, a little help.

Answer 1

Oh, let me try again

Answer 2

Using the points above as zeros,

that means the polynomial has y=0 when x has those values

notice if you have a zero at x=+6
then (add -6 to both sides
x- 6 = 6-6
or
x-6= 0
y= x-6
would have y=0 when x is 6

the point of all of that is your equation
(x + 6) (x - 2) (x - 7)=y
has zeros at -6, +2 and +7

that is "backwards"!

Answer 3

Oh! o-o woops. Okay, so one I fix it, it will give me the correct answer?

Answer 4

@phi

Answer 5

the roller coaster will not go through the buildings, if that is what you are asking.

Answer 6

yes