construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-16 polynomial P(x) = (-10327274496) x^3 + (20459888064) x^4 + (-11362201200) x^5 + (150454560) x^6 + (1215526688) x^7 + (-82855152) x^8 + (-55772925) x^9 + (1133255) x^10 + (1090287)…
The task
The degree-16 polynomial P(x) = (-10327274496)*x^3 + (20459888064)*x^4 + (-11362201200)*x^5 + (150454560)*x^6 + (1215526688)*x^7 + (-82855152)*x^8 + (-55772925)*x^9 + (1133255)*x^10 + (1090287)*x^11 + (19587)*x^12 + (-8375)*x^13 + (-315)*x^14 + (21)*x^15 + (1)*x^16 can be written as (x - a_1)(x - a_2)...(x - a_16)…