$$\frac{x^{3}-19x+30}{x-3}$$
$\left(x-2\right)\left(x+5\right)$
$$\frac{\left(x-3\right)\left(x-2\right)\left(x+5\right)}{x-3}$$
$$\left(x-2\right)\left(x+5\right)$$
$$x^{2}+3x-10$$
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$x^{2}+3x-10$