According to the Rational Root Theorem, the following are potential roots of f of x is equal to 2 x squared plus 2 x minus 24 negative 4 , negative 3 , 2 , 3 , 4 Which are actual roots of f of x ?

Set f(x) = 2x² + 2x − 24 equal to zero. Factoring gives 2(x² + x − 12) = 2(x + 4)(x − 3), so the roots are −4 and 3. Therefore, the correct choice is “negative 4 and 3.”

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