Perform the Indicated Operation $$\left( 10 x ^ { 3 } + 13 x ^ { 2 } + 6 x + 19 \right) \div ( 2 x + 1 )$$

Multiple Choice

Perform the indicated operation.
- $$\left( 10 x ^ { 3 } + 13 x ^ { 2 } + 6 x + 19 \right) \div ( 2 x + 1 )$$

A) $5 x ^ { 2 } + 4 x + 1 + \frac { 18 } { 2 x + 1 }$
B) $x ^ { 2 } + 1 + \frac { 21 } { 2 x + 1 }$
C) $5 x ^ { 2 } + 4 x + 1$
D) $5 x ^ { 2 } + 4 x + 1 + \frac { 21 } { 2 x + 1 }$