Question

The height h, in feet, of a rollercoaster x seconds into a ride can be modeled by the function h(x)=-x^(4)+26x^(3)-212x^(2)+590x+22 Use the Remainder Theorem to find the height of the rollercoaster 4 seconds into the ride.

Answer 1

The height of the rollercoaster 4 seconds into the ride is -434 feet.

Step-by-step explanation:

To find the height of the rollercoaster 4 seconds into the ride using the Remainder Theorem, we substitute 4 into the function h(x) = -x^4 + 26x^3 - 212x^2 + 590x + 22.

So, h(4) = -(4)^4 + 26(4)^3 - 212(4)^2 + 590(4) + 22 = -256 + 832 - 3392 + 2360 + 22 = -434

Therefore, the height of the rollercoaster 4 seconds into the ride is -434 feet.