AMC 12A 2007 Problem 18

The polynomial f(x)=x^{4}+a x^{3}+b x^{2}+c x+d has real coefficients, and f(2 i)= f(2+i)=0. What is a+b+c+d ?

Answer Choices
A. 0
B. 1
C. 4
D. 9
E. 16