2016 is absolutely awesome 16

Algebra Level 5


How many real numbers \(c\) are there such that the above polynomial has 2016 real roots (counting multiplicities)?

Details and Assumptions

  • We define the generalized binomial coefficient as \(\displaystyle\binom{c}{k}=\dfrac{c(c-1)(c-2)\cdots(c-k+1)}{k!}\).

  • If there are infinite real numbers \(c\) satisfied, submit \(-1\) as the answer.

This is a part of the Set.


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