AHSME 1950 Problem 20

When $x^{13}+1$ is divided by $x-1$, the remainder is: $\textbf{(A)}\ 1 \textbf{(B)}\ -1 \textbf{(C)}\ 0 \textbf{(D)}\ 2 \textbf{(E)}\ \text{None of these answers}$