construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-3 polynomial P(x) = (6) x^0 + (-7) x^1 + (1) x^3 can be written as (x - a 1)(x - a 2)...(x - a 3) with integers a 1, ..., a 3 (not necessarily distinct). Find such integers.
The task
The degree-3 polynomial P(x) = (6)*x^0 + (-7)*x^1 + (1)*x^3 can be written as (x - a_1)(x - a_2)...(x - a_3) with integers a_1, ..., a_3 (not necessarily distinct). Find such integers.