AMC 12A 2008 Problem 19

In the expansion of

\left(1+x+x^{2}+\cdots+x^{27}\right)\left(1+x+x^{2}+\cdots+x^{14}\right)^{2}

what is the coefficient of x^{28} ?

Answer Choices
A. 195
B. 196
C. 224
D. 378
E. 405