. In an amusement park, the roller coaster ride has been designed in such a way that it starts form 24 m above the ground. The interpolating polynomial is given as:

p(x)=−2 x3 +23 x2 − 59 x +24

A) Find the maxima and minima of the given polynomial by using first derivative test.

B) Find the maxima and minima by using second derivative test.

C) Find the point of inflection.

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form trinomial.

Factor a trinomial of the form trinomial.

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely.

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