Correct Answer: Option A

Explanation

\(f(x) = 3x^{3} + 8x^{2} + 6x + k\)

\(f(2) = 3(2^{3}) + 8(2^{2}) + 6(2) + k = 1\)

\(\implies 24 + 32 + 12 + k = 1\)

\(68 + k = 1  \therefore k = 1 - 68 = -67\)

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