Question 29
Let $f(X) = a_{n} X^{n} + a_{n-1} X^{n-1} + \cdots + a_{1} X + p$ be a polynomial of integer coefficients where $p$ is a prime number. Assume that
$$
p \gt \sum_{i=1}^{n} \left| a_{i} \right| .
$$
Prove that $f(X)$ is irreducible.
$$
p \gt \sum_{i=1}^{n} \left| a_{i} \right| .
$$
Prove that $f(X)$ is irreducible.