construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-3870720000) x^0 + (-1778688000) x^1 + (628339200) x^2 + (272110720) x^3 + (-31070816) x^4 + (-15547528) x^5 + (364316) x^6 + (401010) x^7 + (9711) x^8 + (-4426)…
The task
The degree-12 polynomial P(x) = (-3870720000)*x^0 + (-1778688000)*x^1 + (628339200)*x^2 + (272110720)*x^3 + (-31070816)*x^4 + (-15547528)*x^5 + (364316)*x^6 + (401010)*x^7 + (9711)*x^8 + (-4426)*x^9 + (-220)*x^10 + (16)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ..., a_12…