\( x^{2}+p x+1 \) is a factor of the cubic polynomial \( a x^{3}+b x+c \) (A) \( a^{2}+c^{2}=-a ...

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\( x^{2}+p x+1 \) is a factor of the cubic polynomial \( a x^{3}+b x+c \)
(A) \( a^{2}+c^{2}=-a b \)
(B) \( a^{2}-c^{2}=-a b \)
(C) \( a^{2}-c^{2}=a b \)
(D) none of these
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