Determine the Constants (Denoted by Capital Letters) So That the Equation

Multiple Choice

Determine the constants (denoted by capital letters) so that the equation is an identity. $\frac { x - 17 } { x \left( x ^ { 2 } + 2 \right) } = \frac { A } { x } + \frac { B x + C } { x ^ { 2 } + 2 }$

A) $\begin{array} { l } A = 8 \frac { 1 } { 2 } \\B = 1 \\C = 8 \frac { 1 } { 2 }\end{array}$
B) $\begin{array} { l } A = - 8 \frac { 1 } { 2 } \\B = 8 \frac { 1 } { 2 } \\C = 1\end{array}$
C) $\begin{array} { l } A = 8 \frac { 1 } { 2 } \\B = 8 \frac { 1 } { 2 } \\C = - 1\end{array}$
D) $\begin{array} { l } A = - 8 \frac { 1 } { 2 } \\B = 8 \frac { 1 } { 2 } \\C = 1\end{array}$
E) $\begin{array} { l } A = - 8 \frac { 1 } { 2 } \\B = 8 \frac { 1 } { 2 } \\C = 2\end{array}$