SOLUTION: So my teacher has asked us to create an equation for a "roller coaster" that has the following requirements: -Your coaster ride must have at least 3 relative maxima and/or minima

Question 825356: So my teacher has asked us to create an equation for a "roller coaster" that has the following requirements:
-Your coaster ride must have at least 3 relative maxima and/or minima
-the ride length must be at least 4 minutes
-the coaster ride starts at 250 feet
The ride dives below the ground into a tunnel at least once
Also the zeros of this polynomial must be a double root, two real and two imaginary roots.
Please help this problem is due tomorrow
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
create an equation for a "roller coaster" that has the following requirements:
-Your coaster ride must have at least 3 relative maxima and/or minima
-the ride length must be at least 4 minutes
-the coaster ride starts at 250 feet
The ride dives below the ground into a tunnel at least once
Also the zeros of this polynomial must be a double root, two real and two imaginary roots.
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f(x) = (250/72)(x-1)(x-2)(x-3)^2(x^2+4)
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Cheers,
Stan H.
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