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Let \(P(x) = x^3 - 2x^2 - 5x + 6\).
  1. Show that \((x-1)\) is a factor of \(P(x)\).
  2. Hence, fully factorize \(P(x)\).
  3. Using the factors of \(P(x)\), solve the inequality \(x^3 - 2x^2 - 5x + 6 > 0\).

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