construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-8 polynomial P(x) = (-105840) x^0 + (21798) x^1 + (69009) x^2 + (18128) x^3 + (-2001) x^4 + (-1058) x^5 + (-49) x^6 + (12) 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) = (-105840)*x^0 + (21798)*x^1 + (69009)*x^2 + (18128)*x^3 + (-2001)*x^4 + (-1058)*x^5 + (-49)*x^6 + (12)*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.