construct/rlve polynomial integer roots

construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-8 polynomial P(x) = (-1152) x^0 + (-3024) x^1 + (-2356) x^2 + (-96) x^3 + (519) x^4 + (102) x^5 + (-36) x^6 + (-6) x^7 + (1) x^8 can be written as (x - a 1)(x - a 2)...(x - a 8) with…