Use Synthetic Division to Divide the Polynomials $$\left( - 3 x ^ { 4 } - 10 x ^ { 3 } + 38 x ^ { 2 } + 58 x - 52 \right) \div \left( x - \frac { 2 } { 3 } \right)$$

Multiple Choice

Use synthetic division to divide the polynomials.
- $$\left( - 3 x ^ { 4 } - 10 x ^ { 3 } + 38 x ^ { 2 } + 58 x - 52 \right) \div \left( x - \frac { 2 } { 3 } \right)$$

A) $- x ^ { 3 } + 4 x ^ { 2 } - 10 x - 26$
B) $- 3 x ^ { 3 } + 12 x ^ { 2 } - 30 x - 78$
C) $- 3 x ^ { 3 } - 12 x ^ { 2 } + 30 x + 78$
D) $- 3 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 26$