Factorize This

Algebra Level 2

x219x32x25x+6=Ax1+Bx+2+Cx3\dfrac{x^2 - 19}{x^3 - 2x^2 -5x + 6} = \dfrac{A}{x-1} + \dfrac{B}{x+2} + \dfrac{C}{x-3}

Let A,BA,B and CC be constants satisfying the partial fraction decomposition above. Find A×B×CA\times B\times C.

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