The condition that ${x^3} - 3px + 2q$ may be divisible by a factor of the form ${x^2} + 2ax + {a^2}$ is

  • A

    $3p = 2q$

  • B

    $3p + 2q = 0$

  • C

    ${p^3} = {q^2}$

  • D

    $27{p^3} = 4{q^2}$

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