Question: Please answer it as soon as possible. Abstract Algebra. 6. (7 PTS) Show that the set Z V2 = Ja+bv/2 : a, be Z. is

Please answer it as soon as possible. Abstract Algebra.

6. (7 PTS) Show that the set Z V2 = Ja+bv/2 : a, be Z. is a subring of R. (3 PTS) Show that the set Z V2 is NOT an ideal of R. 7. (10 PTS) Determine whether the polynomial p(x) = x3 + 2x2 + 2x + 4 is irreducible in Z, [x]. If not, then find its factorization (in Z,[x])

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