If ${x^2} + px + 1$ is a factor of the expression $a{x^3} + bx + c$, then

  • [IIT 1980]
  • A

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

  • B

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

  • C

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

  • D

    None of these

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