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.
x = 6, x = -2, x = -7
(x - 6)(x + 2)(x + 7) = 0
(x^2 + 2x - 6x - 12)(x + 7) = 0
(x^2 - 4x - 12)(x + 7) = 0
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84 = 0
x^3 + 3x^2 - 40x - 84 = f(x)

Question

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.
		x = 6, x = -2, x = -7
		(x - 6)(x + 2)(x + 7) = 0
		(x^2 + 2x - 6x - 12)(x + 7) = 0
		(x^2 - 4x - 12)(x + 7) = 0
		x^3 + 7x^2 - 4x^2 - 28x - 12x - 84 = 0
		x^3 + 3x^2 - 40x - 84 = f(x)

anonymous · Answer

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.

anonymous · Answer

can you check the first part and help me with the second?