Is there any way to tell if a polynomial f(x) has some real root for x>c where c is a real constant. I want to predict this without actually calculating the roots.
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Originally Posted by hsachdevah Is there any way to tell if a polynomial f(x) has some real root for x>c where c is a real constant. I want to predict this without actually calculating the roots. If f(c) and are of different sign, then there must be at least one (in fact an odd number) of roots > c. Unfortunately, if they are of the same sign, we do not know whether there are any roots > c (if there are any there must be an even number).
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