Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 11 x ^ { 2 } + 21 x + 40 } { ( x + 4 ) \left( x ^ { 2 } + 6 \right) }$$

question 55

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 11 x ^ { 2 } + 21 x + 40 } { ( x + 4 ) \left( x ^ { 2 } + 6 \right) }$$

• A) \(\frac { 6 } { x + 4 } + \frac { 5 } { x ^ { 2 } + 6 }\)
• B) \(\frac { 6 } { x + 4 } + \frac { 5 x - 1 } { x ^ { 2 } + 6 }\)
• C) \(\frac { 6 } { x + 4 } + \frac { 5 } { x + 6 } + \frac { 1 } { ( x + 6 ) ^ { 2 } }\)
• D) \(\frac { 6 } { x + 4 } + \frac { 5 x + 1 } { x ^ { 2 } + 6 }\)

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