Answer
$\frac{A}{x} + \frac{Bx + C}{x^{2}+ 10}$
Work Step by Step
The denominator factors to:
$x(x^{2} + 10)$
We must have a linear numerator for each power:
$\frac{A}{x} + \frac{Bx + C}{x^{2}+ 10}$
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