construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (1128960000) x^0 + (-162624000) x^1 + (-1231740800) x^2 + (174284640) x^3 + (106063912) x^4 + (-11936684) x^5 + (-3332294) x^6 + (278701) x^7 + (49537) x^8 +…
The task
The degree-12 polynomial P(x) = (1128960000)*x^0 + (-162624000)*x^1 + (-1231740800)*x^2 + (174284640)*x^3 + (106063912)*x^4 + (-11936684)*x^5 + (-3332294)*x^6 + (278701)*x^7 + (49537)*x^8 + (-2666)*x^9 + (-356)*x^10 + (9)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ..., a_12…