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October 9th, 2011, 06:54 PM   #1
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multiple choice

Let be the monotonic polynomial of degree where m belongs to natural no., then equation has:

A) At least one real root
B) (2m-1) real roots
C) exactly one real root
D) none of these
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October 10th, 2011, 01:04 PM   #2
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Re: multiple choice

Sum of monotonic polynomials is monotonic. Being polynomials, they have to be strictly increasing (or decreasing). Net result exactly one real root.
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