Problem #107
Negated Twins
Let f(x) be a polynomial with integer coefficients such that
f(2) = f(0) = f(1) = f(5) = n and
f(-2) = f(-1) = f(-5) = -n for some positive integer n.
Find the smallest possible value of n.
Let f(x) be a polynomial with integer coefficients such that
f(2) = f(0) = f(1) = f(5) = n and
f(-2) = f(-1) = f(-5) = -n for some positive integer n.
Find the smallest possible value of n.