construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-5 polynomial P(x) = (-288) x^0 + (48) x^1 + (82) x^2 + (-19) x^3 + (-4) 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) = (-288)*x^0 + (48)*x^1 + (82)*x^2 + (-19)*x^3 + (-4)*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.