One of the factors of $p(x) = x^{3} - 3x^{2} + 9x - 27$ is.........

  • A
    $x - 1$
  • B
    $x + 1$
  • C
    $x + 3$
  • D
    $x - 3$

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For which values of $a$ and $b$ are the zeroes of $q(x) = x^{3} + 2x^{2} + a$ also the zeroes of the polynomial $p(x) = x^{5} - x^{4} - 4x^{3} + 3x^{2} + 3x + b$? Which zeroes of $p(x)$ are not the zeroes of $q(x)$?

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Factorize the following polynomial: $p(x) = x^{3} - 4x^{2} + 5x - 20$.

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