construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-2365440000) x^0 + (-753664000) x^1 + (731731200) x^2 + (257007040) x^3 + (-33282368) x^4 + (-18656304) x^5 + (-561184) x^6 + (389716) x^7 + (28332) x^8 + (-3181)…
The task
The degree-12 polynomial P(x) = (-2365440000)*x^0 + (-753664000)*x^1 + (731731200)*x^2 + (257007040)*x^3 + (-33282368)*x^4 + (-18656304)*x^5 + (-561184)*x^6 + (389716)*x^7 + (28332)*x^8 + (-3181)*x^9 + (-301)*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…