Answer by Tsemo Aristide for Show that $f(x)$ is irreducible
$b$ is an integer since it is a coefficient of $g$, so $|b|\geq 1$.
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Here is the problem :Let $f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$ be a polynomial with integer coefficients such that $|a_0|$ is prime and $$|a_0|>|a_1| + |a_2| + \cdots + |a_n|.$$Show...
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