SOLUTION: do all the roots of the polynomial x^5-4x^4-7x^3+14x^2-44x+120 make sense in regards to a roller coaster engineering project problem.explain why or why not in a complete sentence.

Question 1129742: do all the roots of the polynomial x^5-4x^4-7x^3+14x^2-44x+120 make sense in regards to a roller coaster engineering project problem.explain why or why not in a complete sentence.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
breakdown to the exact value of the roots:

the coaster returns to ground level at , , , the three real zeros of the function

do all the roots of the polynomial make sense in regards to a roller coaster engineering project problem????

the roots of the polynomial mathematically make sense in regards to a roller coaster engineering project problem because these values (, , ) mean the ride starts on the ground

but, mathematical end behavior of this function

function has local maximum and minimum where first derivative is equal to zero:
and it is at

so, function is
on: (,),(,)
on: (,)

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