Answer
$(x^{2}+3)$
Work Step by Step
$\frac{x^{3}-2x^{2}+3x-6}{x-2}$
=$\frac{x^{2}(x-2)+3(x-2)}{x-2}$
=$\frac{(x-2)(x^{2}+3)}{x-2}$
=$(x^{2}+3)$
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