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Let \( A=\left[\begin{array}{ccc}1 & 2 & 3 \\ 2 & 2 & -1 \\ 3 & 0 & \mathrm{k}\end{array}\right] \) and \( f(x)=x^{3}-2 x^{2}-\alpha x+\beta=0 \). If A satisfies \( f(x)=0 \), then-
(A) \( \mathrm{k}=1, \alpha=14 \)
(B) \( \alpha=14, \beta=22 \)
(C) \( \mathrm{k}=-1, \beta=22 \)
(D) \( \alpha=-14, \beta=-22 \)
\( \mathrm{P} \)
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