Question: Please help me with this problem. It has multiple parts but is only one problem. Thanks and please be as quick as possible. Problem 1

Please help me with this problem. It has multiple parts but is only one problem. Thanks and please be as quick as possible.

Problem 1 (5pts) True or false questions. There are 5 statements in the following. Please answer whether the statement is true or not (you don't need to give any reasons). (1) Qx]/(a2 - 4.r + 3) is a field. (2) Every ideal in Q(x] is a principal ideal. (3) (10) is a prime ideal in Z. (4) (x2 + x + 1) is a maximal ideal in Zs[x]. (5) (3, r) is a maximal ideal in Z[x]

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