AHSME 1967 Problem 17

If $r_1$ and $r_2$ are the distinct real roots of $x^2+px+8=0$, then it must follow that: $\textbf{(A)}\ |r_1+r_2|>4\sqrt{2} \textbf{(B)}\ |r_1|>3 \text{or} |r_2| >3 \\ \textbf{(C)}\ |r_1|>2 \text{and} |r_2|>2 \textbf{(D)}\ r_1<0 \text{and} r_2<0 \textbf{(E)}\ |r_1+r_2|<4\sqrt{2}$