construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-8 polynomial P(x) = (-79380) x^0 + (165564) x^1 + (-118737) x^2 + (36180) x^3 + (-2873) x^4 + (-1012) x^5 + (285) x^6 + (-28) x^7 + (1) x^8 can be written as (x - a 1)(x - a 2)...(x -…
The task
The degree-8 polynomial P(x) = (-79380)*x^0 + (165564)*x^1 + (-118737)*x^2 + (36180)*x^3 + (-2873)*x^4 + (-1012)*x^5 + (285)*x^6 + (-28)*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.