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Part of 2016 India PRMO

Problems(1)

2016 preRMO p2, x^{2016}+(2016!+1!)x^{2015}+(2015!+2!)x^{2014}+...+(1!+2016!)=0

Source:

8/9/2019
Find the number of integer solutions of the equation x2016+(2016!+1!)x2015+(2015!+2!)x2014+...+(1!+2016!)=0x^{2016} + (2016! + 1!) x^{2015} + (2015! + 2!) x^{2014} + ... + (1! + 2016!) = 0
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