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2014 Peru Iberoamerican Team Selection Test
P4
$$x^{2014} + 2x^{2013} + 3x^{2012} + 4x^{2011} +\ldots + 2014x + 2015$$
$$x^{2014} + 2x^{2013} + 3x^{2012} + 4x^{2011} +\ldots + 2014x + 2015$$
Source: 2014 Peru Ibero TST P4
September 15, 2023
algebra
Problem Statement
Determine the minimum value of
x
2014
+
2
x
2013
+
3
x
2012
+
4
x
2011
+
…
+
2014
x
+
2015
x^{2014} + 2x^{2013} + 3x^{2012} + 4x^{2011} +\ldots + 2014x + 2015
x
2014
+
2
x
2013
+
3
x
2012
+
4
x
2011
+
…
+
2014
x
+
2015
where
x
x
x
is a real number.
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