Solve the Polynomial Equation $$x ^ { 3 } + 4 x ^ { 2 } - 10 x + 12 = 0$$

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 3 } + 4 x ^ { 2 } - 10 x + 12 = 0$$

A) $\{ 1 + i , 1 - i , - 6 \}$
B) $\{ 1 + i , 1 - i , 6 \}$
C) $\{ - 6,6 \}$
D) $\{ 1 + i , 1 - i , 6 i \}$