Use the Graph or Table to Determine a Solution of the Equation

Multiple Choice

Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a
solution of the equation. Then solve the polynomial equation.
- $$2 x ^ { 3 } + 11 x ^ { 2 } + 17 x + 6 = 0$$

A) $- 2$ ; The remainder is zero; $- 3 , - 2$ , and $- \frac { 1 } { 2 }$ , or $\left\{ - 3 , - 2 , - \frac { 1 } { 2 } \right\}$
B) $- 2$ ; The remainder is zero; $3 , - 2$ , and $- \frac { 1 } { 2 }$ , or $\left\{ - 2 , - \frac { 1 } { 2 } , 3 \right\}$
C) $- 2$ ; The remainder is zero; $- 3,2$ , and $- \frac { 1 } { 2 }$ , or $\left\{ - 3 , - \frac { 1 } { 2 } , 2 \right\}$
D) $- 2$ ; The remainder is zero; $- 3 , - 2$ , and $\frac { 1 } { 2 }$ , or $\left\{ - 3 , - 2 , \frac { 1 } { 2 } \right\}$