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If `x^2 + ax + 1` is a factor of `ax^3 + bx + c`, then (i) `b+a+a^3=0,a^2+c=0` (ii) `b-a+a^3=0,a^2+c=0` (iii) `b+a-a^3=0,a^2+c=0` (iv) none of these

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