Use the Binomial Series to Expand the Function $\sqrt { 4 + x }$

Multiple Choice

Use the binomial series to expand the function $\sqrt { 4 + x }$ as a power series. Give the coefficient of $x ^ { 2 }$ in that series.

A) $- \frac { 1 } { 8 }$
B) $- \frac { 1 } { 32 }$
C) $- \frac { 1 } { 64 }$
D) $\frac { 1 } { 8 }$
E) $\frac { 1 } { 32 }$
F) $- \frac { 1 } { 16 }$
G) $\frac { 1 } { 64 }$
H) $\frac { 1 } { 16 }$