Let f(x) be a polynomial with integer coefficients. There exist distinct integers p, q, r, s, t such that
f(p)=f(q)=f(r)=f(s)=1
and f(t)>1. What is the smallest possible value of f(t)?
This is a repeated question. Here is the link to the answer I wrote for a previous poster: https://web2.0calc.com/questions/result-on-polynomials#r2