Solve the Problem $2 x ^ { 3 } - 17 x ^ { 2 } + 38 x - 15 = 0$

Multiple Choice

Solve the problem.
-Solve the equation $2 x ^ { 3 } - 17 x ^ { 2 } + 38 x - 15 = 0$ given that 3 is a zero of $f ( x ) = 2 x ^ { 3 } - 17 x ^ { 2 } + 38 x - 15$

A) $\left\{ 3,5 , \frac { 1 } { 2 } \right\}$
B) $\left\{ 3 , - 5 , - \frac { 1 } { 2 } \right\}$
C) $\left\{ 3,1 , \frac { 5 } { 2 } \right\}$
D) $\left\{ 3 , - 1 , - \frac { 5 } { 2 } \right\}$