If \( f(x)=a x^{3}+b x^{2}+c x+d,(a, b, c, d \) are rational numbers) and roots of \( f(x)=0 \) ...

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If \( f(x)=a x^{3}+b x^{2}+c x+d,(a, b, c, d \) are rational numbers) and roots of \( f(x)=0 \) are eccentricities of a
\( \mathrm{P} \) parabola and a rectangular hyperbola, then

W \( a+b+c+d \) equals
(a) \( -1 \)
(b) 0
(c) 1
(d) data inadequate
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