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[Post New]23 Apr 2008 20:13:00 IST
    Subject: An interesting result
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hsbhatt (4888)

Forum Expert Blazing goIITian

Olaaa!! Perrrfect answer. 922  [1061 rates]
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Consider the polynomial:
 
f(x) = x^n + a_1 x^{n-1} + a_2 x^{n-2} + ...+ a_{n-1} x + 1
 
It is given that it has n real roots and a_i \ge 0, 1\le i \le n-1
 
Prove that f(2) \ge 3^n
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