Find the Partial Fraction Decomposition for the Rational Expression $\frac { 5 x ^ { 2 } + 20 x - 10 } { \left( 2 x ^ { 2 } + 1 \right) ( 3 - x ) }$

Find the partial fraction decomposition for the rational expression.
$\frac { 5 x ^ { 2 } + 20 x - 10 } { \left( 2 x ^ { 2 } + 1 \right) ( 3 - x ) }$

A) $\frac { 99 x - 83 } { 2 x ^ { 2 } + 1 } + \frac { - 59 } { x - 3 }$
B) $\frac { 5 x - 5 } { 2 x ^ { 2 } + 1 } + \frac { - 5 } { x - 3 }$
C) $\frac { 99 x + 83 } { 2 x ^ { 2 } + 1 } + \frac { - 59 } { x - 3 }$
D) $\frac { 5 x - 5 } { 2 x ^ { 2 } + 1 } + \frac { 5 } { x - 3 }$

Correct Answer:

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