Answer
$x^3-5x^2+17x-83+\frac{422}{x+5}$
Work Step by Step
Use synthetic division as shown in the figure, we can obtain the quotient and remainder as: $\frac{x^4-8x^2+2x+7}{x+5}=x^3-5x^2+17x-83+\frac{422}{x+5}$
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