Given a polynomial
with integer coefficients whose value is divisible by
for three integers
and
. Prove that
is divisible by
for all integers
%V0
$(POL 3)$ Given a polynomial $f(x)$ with integer coefficients whose value is divisible by $3$ for three integers $k, k + 1,$ and $k + 2$. Prove that $f(m)$ is divisible by $3$ for all integers $m.$
Školjka