Factorize This

Algebra Level 3

\[\dfrac{x^2 - 19}{x^3 - 2x^2 -5x + 6} = \dfrac{A}{x-1} + \dfrac{B}{x+2} + \dfrac{C}{x-3}\]

Let \(A,B\) and \(C\) be constants satisfying the partial fraction decomposition above. Find \(A\times B\times C\).

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