Question 26
A polynomial
$$
P(x) = x^{2016} + 2016x^{2015} + a_{2014}x^{2014} + a_{2013}x^{2013} + \dots + a_1x + 1
$$
can be expressed as $P(x) = (x - x_1)(x - x_2)\dots(x - x_{2016})$, where among the numbers $x_1, x_2, \dots, x_{2016}$ at least 2015 are negative (not necessarily distinct). Find all coefficients of $P(x)$.
$$
P(x) = x^{2016} + 2016x^{2015} + a_{2014}x^{2014} + a_{2013}x^{2013} + \dots + a_1x + 1
$$
can be expressed as $P(x) = (x - x_1)(x - x_2)\dots(x - x_{2016})$, where among the numbers $x_1, x_2, \dots, x_{2016}$ at least 2015 are negative (not necessarily distinct). Find all coefficients of $P(x)$.