construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-1152000) x^2 + (2697600) x^3 + (-2134880) x^4 + (564624) x^5 + (76064) x^6 + (-56016) x^7 + (3354) x^8 + (1401) x^9 + (-139) x^10 + (-9) x^11 + (1) x^12 can be…
The task
The degree-12 polynomial P(x) = (-1152000)*x^2 + (2697600)*x^3 + (-2134880)*x^4 + (564624)*x^5 + (76064)*x^6 + (-56016)*x^7 + (3354)*x^8 + (1401)*x^9 + (-139)*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 (not necessarily distinct). Find such integers.