Question: Show that a cubic function (a third-degree polynomial) always has exactly one point of inflection. If its graph has three x-intercepts x1, x2, and x3,

Show that a cubic function (a third-degree polynomial)

always has exactly one point of inflection. If its graph has three x-intercepts x1, x2, and x3, show that the x-coordinate of the inflection point is sx1 1 x2 1 x3 dy3.

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