Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor $$\frac { 6 x ^ { 3 } - 5 x ^ { 2 } + 14 x - 19 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$$

Multiple Choice

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 6 x ^ { 3 } - 5 x ^ { 2 } + 14 x - 19 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$$

A) $\frac { 6 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } } + \frac { - 4 x - 4 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$
B) $\frac { x + 1 } { x ^ { 2 } + 3 } + \frac { 6 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } } + \frac { - 4 x - 4 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$
C) $\frac { 6 x + 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } } + \frac { - 4 x + 4 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$
D) $\frac { x } { x ^ { 2 } + 3 } + \frac { 6 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } } + \frac { - 4 x - 4 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$