Evaluate the Polynomial Function $f ( x ) = x ^ { 2 } + 5 x + 3$

Multiple Choice

Evaluate the polynomial function.
-If $f ( x ) = x ^ { 2 } + 5 x + 3$ , find $f ( a + h ) - f ( a )$ .

A) $2 a h + h ^ { 2 } + 5 a + 5 h$
B) $a ^ { 2 } + 2 a h + h ^ { 2 } + 5 a + 5 h + 3$
C) $2 a h + h ^ { 2 } + 5 a + 6$
D) $2 a h + h ^ { 2 } + 5 a$