Problem 55410. Easy Sequences 70: Inflection Points of Binomial Product Function

Inflection points are points along the graph curve of a function, where the curvature of the curve changes from concave to convex, or vice versa. Consider the following the following binomial product function:
where the coefficient are given by the vector, . Write a function that outputs an array of the x-coordinates all of the inflections of .
For example, if :
The plot of the function shows 2 inflection points:
Therefore, the function output in this case should be: . Please present the output rounded to 4 decimal places and sorted ascending.
NOTE: As an added challenge, some MATLAB built-in functions are disabled.

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57.14% Correct | 42.86% Incorrect
Last Solution submitted on Sep 18, 2022

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