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P4

Part of 2014 Peru Iberoamerican Team Selection Test

Problems(1)

$$x^{2014} + 2x^{2013} + 3x^{2012} + 4x^{2011} +\ldots + 2014x + 2015$$

Source: 2014 Peru Ibero TST P4

9/15/2023
Determine the minimum value of x2014+2x2013+3x2012+4x2011+…+2014x+2015x^{2014} + 2x^{2013} + 3x^{2012} + 4x^{2011} +\ldots + 2014x + 2015 where xx is a real number.
algebra