The shape of a roller coaster is modeled by a polynomial function, r(x). describe how to find the x-intercepts of r(x) and how to construct a rough graph of r(x) so that the engineer can predict when there will be no change in the direction of the coaster. you may create a sample polynomial of degree 3 or higher to use in your explanations.

ou will need three roots for this, so we have

 Let x = -30, -10 and +20

So the factors will be  (x+30)(x+10)(x-20)

The divide it to 100, this will help bring the peak up and down

So the polynomial function R(x) will become

1/100 *  (x+30)(x+10)(x-20)

R(x) = 1/100 * (x+30)(x+10)(x-20)

Finding the X-intercept:

Let R(x) = 0 and solve for x.

1/100 * (x+30)(x+10)(x-20) = 0

x = -30, -10, 20 are the x-intercepts.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

is there a picture

step-by-step explanation: