Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 2 x ^ { 3 } - 1 x ^ { 2 } + 13 x - 5 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }$$

question 58

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 2 x ^ { 3 } - 1 x ^ { 2 } + 13 x - 5 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }$$

• A) \(\frac { 2 x + 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x + 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)
• B) \(\frac { x + 1 } { x ^ { 2 } + 4 } + \frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)
• C) \(\frac { x } { x ^ { 2 } + 4 } + \frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)
• D) \(\frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)

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