JEE Advance - Mathematics (1980 - No. 17)

If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then

$${a^2} + {c^2} = - ab\,$$

$${a^2} - {c^2} = - ab$$

$${a^2} - {c^2} = ab$$

none of these

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