Use Synthetic Division to Divide $\left( 4 x ^ { 3 } + 19 x ^ { 2 } + 27 x - 8 \right) \div \left( x - \frac { 1 } { 4 } \right)$

Use synthetic division to divide.
- $\left( 4 x ^ { 3 } + 19 x ^ { 2 } + 27 x - 8 \right) \div \left( x - \frac { 1 } { 4 } \right)$

A) $4 x ^ { 2 } + 18 x + \frac { 45 } { 2 } + \frac { \frac { 15 } { 2 } } { x - \frac { 1 } { 4 } }$
B) $4 x ^ { 2 } + 20 x + 32$
C) $4 x ^ { 2 } - 20 x + 32$
D) $4 x ^ { 2 } + 20 x + 32 - \frac { 16 } { x - \frac { 1 } { 4 } }$

Correct Answer:

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