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

question 263

Multiple Choice

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

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

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