Question: The polynomial P(x) has integral coefficients, and P(2) = P(3) = P(4) = 5. If the sum of the coefficients of P(x) is greater

The polynomial P(x) has integral coefficients, and P(2) = P(3) = P(4)

The polynomial P(x) has integral coefficients, and P(2) = P(3) = P(4) = 5. If the sum of the coefficients of P(x) is greater than 5, what is the least possible value of this sum?

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