Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = 2 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 17$$

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = 2 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 17$$

A) $\pm 1 , \pm 2 , \pm 17 , \pm \frac { 17 } { 2 }$
B) $\pm 1 , \pm 2 , \pm 17$
C) $\pm 1 , \pm 17 , \pm \frac { 1 } { 2 } , \pm \frac { 17 } { 2 }$
D) $\pm 1 , \pm \frac { 1 } { 17 } , \pm 2 , \pm \frac { 2 } { 17 }$

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