\( f(x) \) is a polynomial of degree 4 with real coefficients such that \( f(x)=0 \) is satisfie...

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\( f(x) \) is a polynomial of degree 4 with real coefficients such that \( f(x)=0 \) is satisfied by \( x=1,2,3 \) only, then \( f^{\prime}(1) \cdot f^{\prime}(2) \cdot f^{\prime}(3) \) is equal to
(a) 0
(b) 2
(c) \( -1 \)
(d) None of these
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