Write the Partial Fraction Decomposition of the Rational Expression $\frac { 5 x ^ { 3 } + 19 x - 2 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }$

question 3

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 5 x ^ { 3 } + 19 x - 2 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }$

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

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