construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-5 polynomial P(x) = (360) x^0 + (-402) x^1 + (121) x^2 + (9) x^3 + (-9) x^4 + (1) x^5 can be written as (x - a 1)(x - a 2)...(x - a 5) with integers a 1, ..., a 5 (not necessarily…
The task
The degree-5 polynomial P(x) = (360)*x^0 + (-402)*x^1 + (121)*x^2 + (9)*x^3 + (-9)*x^4 + (1)*x^5 can be written as (x - a_1)(x - a_2)...(x - a_5) with integers a_1, ..., a_5 (not necessarily distinct). Find such integers.