Pre RMO 2016

Algebra Level 4

x2016+(2016!+1!)x2015+(2015!+2!)x2014++(1!+2016!)=0 x^{2016} + (2016! + 1!)x^{2015} + (2015! +2!)x^{2014} + \cdots + (1! + 2016!)=0

Find the number of integral roots of the equation above.

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