1954 AHSME Problem 20

The equation x^3+6x^2+11x+6=0 has:

\begin{array}{l} \textbf{(A)}\ \text{no negative real roots}\qquad\textbf{(B)}\ \text{no positive real roots}\qquad\textbf{(C)}\ \text{no real roots}\\ \textbf{(D)}\ \text{1 positive and 2 negative roots}\qquad\textbf{(E)}\ \text{2 positive and 1 negative root} \end{array}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.