Write the Function in Vertex Form and Determine the X-Intercept(s) $$p ( x ) = x ^ { 2 } + 9 x + 11$$

Multiple Choice

Write the function in vertex form and determine the x-intercept(s)
- $$p ( x ) = x ^ { 2 } + 9 x + 11$$

A) $p ( x ) = \left( x + \frac { 9 } { 2 } \right) ^ { 2 } - \frac { 37 } { 4 } ; \left( \frac { - 9 + \sqrt { 37 } } { 2 } , 0 \right)$ and $\left( \frac { - 9 - \sqrt { 37 } } { 2 } , 0 \right)$
B) $p ( x ) = \left( x + \frac { 9 } { 2 } \right) ^ { 2 } + \frac { 37 } { 4 } ; \left( \frac { - 9 + \sqrt { 37 } } { 2 } , 0 \right)$ and $\left( \frac { - 9 - \sqrt { 37 } } { 2 } , 0 \right)$
C) $p ( x ) = \left( x - \frac { 9 } { 2 } \right) ^ { 2 } - \frac { 37 } { 4 } ; ( 0,0 )$
D) $p ( x ) = \left( x + \frac { 9 } { 2 } \right) ^ { 2 } - \frac { 37 } { 4 } ; ( 0,0 )$