Find the irreducible tactors of 2++² + 2x +1 in Zs[z] For which of the primes p E {3,5} can we construct a field of order p² by using the polynomial + 1? If its possible to construct a field write down all its elements and compute (1+2r}(2+2r) within the field. What is the relation between the two elements (1 + 2x) and (2 +2r)?

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