Let
be a polynomial with integer coefficients. We denote
its degree which is
Let
be the number of all the integers
for which we have
Prove that
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Let $P(x)$ be a polynomial with integer coefficients. We denote $\deg(P)$ its degree which is $\geq 1.$ Let $n(P)$ be the number of all the integers $k$ for which we have $(P(k))^{2}=1.$ Prove that $n(P)- \deg(P) \leq 2.$
Školjka