Solve the Polynomial Equation $$x ^ { 3 } - 8 x ^ { 2 } - x + 8 = 0$$

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 3 } - 8 x ^ { 2 } - x + 8 = 0$$

A) $\{ 1 , - 1,8 \}$
B) $\{ - 1,2 , - 4 \}$
C) $\{ 1,2,4 \}$
D) $\{ 1 , - 1 , - 8 \}$