Write the Partial Fraction Decomposition of the Rational Expression $\frac { 3 x ^ { 2 } + 7 x + 7 } { x ^ { 3 } + x }$

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 3 x ^ { 2 } + 7 x + 7 } { x ^ { 3 } + x }$

A) $\frac { 7 } { x } - \frac { 4 x + 7 } { x ^ { 2 } + 1 }$
B) $\frac { 7 } { x } + \frac { 4 x - 7 } { x ^ { 2 } + 1 }$
C) $\frac { 7 } { x } + \frac { 4 x + 7 } { x ^ { 2 } + 1 }$
D) $\frac { 7 } { x } - \frac { 7 x - 7 } { x ^ { 2 } + 1 }$
E) $\frac { 7 } { x } - \frac { 4 x - 7 } { x ^ { 2 } + 1 }$