construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-101039400) x^1 + (-98597250) x^2 + (19947951) x^3 + (16543665) x^4 + (-1930980) x^5 + (-911816) x^6 + (79714) x^7 + (21638) x^8 + (-1292) x^9 + (-238) x^10 + (7)…
The task
The degree-12 polynomial P(x) = (-101039400)*x^1 + (-98597250)*x^2 + (19947951)*x^3 + (16543665)*x^4 + (-1930980)*x^5 + (-911816)*x^6 + (79714)*x^7 + (21638)*x^8 + (-1292)*x^9 + (-238)*x^10 + (7)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ..., a_12 (not necessarily distinct).…