Let $p(x)$ be a quadratic polynomial with real coefficients. If $p(x)=0$ has only purely imaginary roots,then the zeroes of the polynomial $p(p(x))$ are

  • A
    only real numbers
  • B
    only purely imaginary numbers
  • C
    only rational numbers
  • D
    only complex numbers of the form $a+ib$ with $a \neq 0$ and $b \neq 0$

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