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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)

f(x) = 1 − 24x + 4x2,    [2, 4]

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