![4. (4 points) Prove that the following polynomials are irreducible: (a) f(x) + +2+a+1 in Z2a (b) /(r) =r-72.3 + 5x2-3r _ 9 in Q[r] (e) /(r) = rs + 6rs-12r + l8r2-24r-Win Qlr).](https://media.cheggcdn.com/media%2F0ce%2F0cea29f1-4102-4952-ba29-11de510a8a60%2Fimage.png)
4. (4 points) Prove that the following polynomials are irreducible: (a) f(x) + +2+a+1 in Z2a (b) /(r) =r’-72.3 + 5×2-3r _ 9 in Q[r] (e) /(r) = rs + 6rs-12r’ + l8r2-24r-Win Qlr). Show transcribed image text
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