According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.–4, –3, 2, 3, 4Which are actual roots of f(x)?

Factor the polynomial: 2x² + 2x − 24 = 2(x² + x − 12) = 2(x + 4)(x − 3). Setting each factor equal to zero gives x = −4 and x = 3, so the actual roots are –4 and 3, choice A.

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