Question: Prove Theorem 17.7. For polynomials in F[x], (a) Every nonzero polynomial of degree < 1 is irreducible. (b) if fix) F[x] with degree f(x)

Prove Theorem 17.7.
For polynomials in F[x],
(a) Every nonzero polynomial of degree < 1 is irreducible.
(b) if fix) ∈ F[x] with degree f(x) = 2 or 3, then f(x) is reducible if and only if f(x) has a root in the field F.

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