Use Synthetic Division to Perform the Division $$\frac { x ^ { 3 } + \frac { 5 } { 2 } x ^ { 2 } - 2 x - \frac { 3 } { 2 } } { x + \frac { 1 } { 2 } }$$

Use synthetic division to perform the division.
- $$\frac { x ^ { 3 } + \frac { 5 } { 2 } x ^ { 2 } - 2 x - \frac { 3 } { 2 } } { x + \frac { 1 } { 2 } }$$

A) $x ^ { 2 } + 2 x - 3$
B) $x ^ { 2 } - \frac { 13 } { 2 } x + \frac { 7 } { 2 } - 2$
C) $x ^ { 2 } - \frac { 13 } { 2 } x + \frac { - 2 } { x + 1 }$
D) $x ^ { 2 } + 2 x - 6$

Correct Answer:

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