What are the roots of the polynomial equation x to the 4th power plus x cubed is equal to 4 x squared plus 4 x ? Use a graphing calculator and a system of equations.

Move all terms to one side: x⁴ + x³ − 4x² − 4x = 0. Factor to get x(x + 1)(x² − 4) = 0, and then use x² − 4 = (x − 2)(x + 2). Setting each factor equal to zero gives the roots −2, −1, 0, and 2, matching choice A.

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