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Sample Question 18:
The \(f(x) = x^{4} + ax^{3} + bx^{2} + cx + d\) has real coefficients, and \(f(2i) = f(2 + i) = 0.\) What is \(a + b + c + d?\)
\(\mathrm{(A)}\ 0 \qquad \mathrm{(B)}\ 1 \qquad \mathrm{(C)}\ 4 \qquad \mathrm{(D)}\ 9 \qquad \mathrm{(E)}\ 16\)