Find the roots of the polynomial functionf(x) = x3 + 2x2 + x

Factor the polynomial: f(x) = x(x² + 2x + 1) = x(x + 1)². Setting each factor equal to zero gives x = 0 and x = −1, with −1 occurring twice, so the correct choice is x = 0 and x = −1 with multiplicity 2.

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