My teacher asked us to create a rollercoaster with these requirements : - your roller coaster ride must have 2 maxima and 2 minima.
- the ride length must be equal to 1.5 minutes.
- Consider the initial point of the roller coaster is the origin of the graph (0;0)
- The roller coaster moves horizontally from the origin for 500 meters before it starts going up.
- the ride dives below the ground into a tunnel at least once.
- the average speed of your rollercoaster is 40m/s.
- include the following in your design: one double root (multiplicity of two) and 2 real roots.
-Write the complete factored form of your roller coaster polynomial.
- Find the equation in standard form that represents your roller coaster ride.
- Perform synthetic division to verify the correctness of your equation.
- Draw an accurate graph of your polynomial.