Write the Partial Fraction Decomposition of the Rational Expression $\frac { 3 x ^ { 2 } + 3 x + 18 } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }$

question 173

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 3 x ^ { 2 } + 3 x + 18 } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }$

• A) \(\frac { 3 x + 3 } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }\)
• B) \(\frac { 3 } { x ^ { 2 } + 6 } - \frac { 3 x } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }\)
• C) \(\frac { 3 } { x ^ { 2 } + 6 } + \frac { 3 x } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }\)
• D) \(\frac { 3 x + 18 } { x ^ { 2 } + 6 } + \frac { 3 x } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }\)
• E) \(\frac { 3 } { x ^ { 2 } + 6 } + \frac { 3 } { \left( x ^ { 2 } + 6 \right) ^ { 2 } }\)