construct/rlve polynomial integer roots

construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-8 polynomial P(x) = (-288) x^1 + (444) x^2 + (133) x^3 + (-455) x^4 + (166) x^5 + (10) x^6 + (-11) x^7 + (1) x^8 can be written as (x - a 1)(x - a 2)...(x - a 8) with integers a 1…