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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1954 AMC 12/AHSME
20
20
Part of
1954 AMC 12/AHSME
Problems
(1)
Another Cubic
Source:
2/7/2009
The equation x^3\plus{}6x^2\plus{}11x\plus{}6\equal{}0 has:
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A
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no negative real roots
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B
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no positive real roots
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C
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no real roots
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D
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1 positive and 2 negative roots
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E
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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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no negative real roots
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B
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no positive real roots
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C
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no real roots
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D
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1 positive and 2 negative roots
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E
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2 positive and 1 negative root