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A neat Cubic polynomial property with cool visualizstion

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Neat Cubic polynomial property

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When a cubic polynomial have 3 real roots, it can be visualized with an equilateral triangle centered directly above the inflection point (red), where its vertices coincide with the three roots (green) and the local min/max (blue) align with the incircle boundary.

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A neat Cubic polynomial property with cool visualizstion

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