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October 9th, 2011, 07:54 PM  #1 
Senior Member Joined: Jul 2011 Posts: 407 Thanks: 16  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) (2m1) real roots C) exactly one real root D) none of these 
October 10th, 2011, 02:04 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,856 Thanks: 745  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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