Form 4 More about polynomials.

The linear factor must be (x ± 1) or (x ± f).Note that (x + f) and (x - f) cann't be the factors of P(x) at the same time.So it at most have 3 distinct linear factors with integral
coefficients :(x - 1)^5 (x ± f)(x - 1)^4 (x + 1) (x ± f)(x - 1)^3 (x + 1)^2 (x ± f)(x - 1)^2 (x + 1)^3 (x ± f)(x - 1) (x + 1)^4 (x ± f)(x + 1)^5 (x ± f)