Question: 2. (5 points) Consider the polynomial X 2 + 7X + 3. Describe, with justication, which are the primes for which the polynomial is irreducible,

2. (5 points) Consider the polynomial X 2 + 7X +

2. (5 points) Consider the polynomial X 2 + 7X + 3. Describe, with justication, which are the primes for which the polynomial is irreducible, those for which it has two different roots, and those for which it has a repeated root modulo p. Hint: Recall the quadratic formula that you studied in a previous

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