construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-1428840000) x^0 + (-642978000) x^1 + (929505600) x^2 + (31855680) x^3 + (-105826072) x^4 + (9363241) x^5 + (3011639) x^6 + (-420075) x^7 + (-24549) x^8 + (5739)…
The task
The degree-12 polynomial P(x) = (-1428840000)*x^0 + (-642978000)*x^1 + (929505600)*x^2 + (31855680)*x^3 + (-105826072)*x^4 + (9363241)*x^5 + (3011639)*x^6 + (-420075)*x^7 + (-24549)*x^8 + (5739)*x^9 + (-59)*x^10 + (-25)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ..., a_12…