Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 4 x ^ { 2 } + 20 x - 12 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }$$

question 81

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 4 x ^ { 2 } + 20 x - 12 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }$$

• A) \(\frac { 4 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { 4 } { x - 4 }\)
• B) \(\frac { 4 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { - 4 } { x - 4 }\)
• C) \(\frac { 135 x + 120 } { 2 x ^ { 2 } + 1 } + \frac { - 84 } { x - 4 }\)
• D) \(\frac { 135 x - 120 } { 2 x ^ { 2 } + 1 } + \frac { - 84 } { x - 4 }\)

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