construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-434649600) x^0 + (322176960) x^1 + (209263936) x^2 + (-55765748) x^3 + (-40332612) x^4 + (-2461927) x^5 + (1555355) x^6 + (231549) x^7 + (-13609) x^8 + (-4213)…
The task
The degree-12 polynomial P(x) = (-434649600)*x^0 + (322176960)*x^1 + (209263936)*x^2 + (-55765748)*x^3 + (-40332612)*x^4 + (-2461927)*x^5 + (1555355)*x^6 + (231549)*x^7 + (-13609)*x^8 + (-4213)*x^9 + (-111)*x^10 + (19)*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…