1Trying...
Let P(x) be a polynoimial of degree n with real coefficients and is non negative for all real x,tehn prove that P(x)+P'(x)+...+Pnx is non negative for all x
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16 Answers
24Strange..it has been so long since this one has been posted..but no one has tried it...
341If I remember right this is from an old Leningrad Math Olympiad. Right now busy with some office work, I will look up the book I suspect it is and type it out.
24ok sir...I will wait for your solution..
I found this question from my friend,so I have no idea if it is really from the book you mentioned
24@prophet sir
I searched in the book mentioned by you.but in that its converse has been proved as follows::
341I was mistaken about LMO. But the proof is in the book The Art and Craft of Problem Solving in the section on Extremal Arguments. I need some time to refer to it. Maybe this evening i'll post it.
But, hey, I am looking for the LMO collection. Is that an e-book you have? Anyway I can lay my hands on this book?
24sir,got the soln atlast from the book u mentioned
here is the soln from it
any additions u would like to make ??