Find the Partial Fraction Decomposition for the Rational Expression $\frac { 546 x ^ { 2 } + 78 x } { \left( x ^ { 2 } + 3 \right) ( x + 6 ) }$

question 77

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 546 x ^ { 2 } + 78 x } { \left( x ^ { 2 } + 3 \right) ( x + 6 ) }$

• A) \(\frac { 54 x + 492 } { x ^ { 2 } + 3 } + \frac { - 246 } { x + 6 }\)
• B) \(\frac { 54 x } { x + 6 } + \frac { 246 } { x ^ { 2 } + 3 }\)
• C) \(\frac { 54 x - 246 } { x ^ { 2 } + 3 } + \frac { 492 } { x + 6 }\)
• D) \(\frac { 54 x - 246 } { x ^ { 2 } + 3 } + \frac { - 492 } { x + 6 }\)

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