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(20850)   (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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