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DeadShot
 2 years ago
What are the possible number of positive, negative, and complex zeros of f(x) = x^6 + x^5+ x^4 + 4x^3  12x^2 + 12 ?
DeadShot
 2 years ago
What are the possible number of positive, negative, and complex zeros of f(x) = x^6 + x^5+ x^4 + 4x^3  12x^2 + 12 ?

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e.cociuba
 2 years ago
Best ResponseYou've already chosen the best response.1Descartes' Rule of Signs tells you that there could be four positive roots, and two negative roots, and any pair of those positive and negative roots could be replaced by a pair of complex conjugates. In actuality, that function has two positive, two negative and two complex roots, but Descartes isn't as precise as that.
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