Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 3 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$$

question 11

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 3 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$$

• A) \(\frac { 3 x - 4 } { x ^ { 2 } + 5 } + \frac { - 15 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• B) \(\frac { 3 x + 4 } { x ^ { 2 } + 5 } + \frac { - 15 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• C) \(\frac { 3 x + 4 } { x ^ { 2 } + 5 } + \frac { 15 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• D) \(\frac { 3 x + 4 } { x ^ { 2 } + 5 } + \frac { 15 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)

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