\[\frac{{x}^{3}-12{x}^{2}-42}{x-3}\]
1
Polynomial Division: Divide x3−12x2−42{x}^{3}-12{x}^{2}-42 by x−3x-3.

x2x^2−9x-9x−27-27
x−3x-3x3x^3−12x2-12x^2−42-42
x3x^3−3x2-3x^2
−9x2-9x^2−42-42
−9x2-9x^227x27x
−27x-27x−42-42
−27x-27x8181
−123-123

2
Rewrite the expression using the above.
x2−9x−27−123x−3{x}^{2}-9x-27-\frac{123}{x-3}

Done
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