construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-8 polynomial P(x) = (-29400) x^0 + (81410) x^1 + (-80211) x^2 + (33956) x^3 + (-5777) x^4 + (-142) x^5 + (187) x^6 + (-24) x^7 + (1) x^8 can be written as (x - a 1)(x - a 2)...(x - a…
The task
The degree-8 polynomial P(x) = (-29400)*x^0 + (81410)*x^1 + (-80211)*x^2 + (33956)*x^3 + (-5777)*x^4 + (-142)*x^5 + (187)*x^6 + (-24)*x^7 + (1)*x^8 can be written as (x - a_1)(x - a_2)...(x - a_8) with integers a_1, ..., a_8 (not necessarily distinct). Find such integers.