How to display special points of a polynomial

Task
[list=1][*]Use the sliders to modify the parameters of the polynomial. Watch how the graph adapts to your changes.[/*][*]Select the equation of the polynomial. Then select [hl_button_small]SPECIAL POINTS[/hl_button_small] in order to display its roots and extrema.[br][/*][/list]
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Information: How to display special points of a polynomial