If \( \left(x^{2}-1\right) \) is a factor of \( a x^{3}-b x^{2}-c x+d \), then find the relation...

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If \( \left(x^{2}-1\right) \) is a factor of \( a x^{3}-b x^{2}-c x+d \), then find the relation between \( a \) and \( c \).
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