## Problem of the Day #13: Polynomial Coefficient MinimizationApril 1, 2011

Posted by Albert in : potd , trackback

Given the following polynomial with real coefficients and positive real roots:
$$f(x) = x^6-a x^5+b x^4-c x^3+d x^2-e x+64$$
What is the minimum possible value for $e$?

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