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Another Cubic

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February 7, 2009

Problem Statement

The equation x^3\plus{}6x^2\plus{}11x\plus{}6\equal{}0 has: <spanclass=′latex−bold′>(A)</span> no negative real roots<spanclass=′latex−bold′>(B)</span> no positive real roots<spanclass=′latex−bold′>(C)</span> no real roots<spanclass=′latex−bold′>(D)</span> 1 positive and 2 negative roots<spanclass=′latex−bold′>(E)</span> 2 positive and 1 negative root <span class='latex-bold'>(A)</span>\ \text{no negative real roots} \qquad <span class='latex-bold'>(B)</span>\ \text{no positive real roots} \qquad <span class='latex-bold'>(C)</span>\ \text{no real roots} \\ <span class='latex-bold'>(D)</span>\ \text{1 positive and 2 negative roots} \qquad <span class='latex-bold'>(E)</span>\ \text{2 positive and 1 negative root}
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