Prove Corollary 1 and 2 of Theorem 16.2. Corollary 1 of Theorem 16.2 states: Let F be a field, a ∈ F, and f(x) ∈ F[x]. Then f(a) is the remainder in the division of f(x) by x – a. Corollary 2 of Theorem 16.2 states: Let F be a field, a ∈ F, and f(x) ∈ F[x]. Then a is a zero of f(x) if and only if  x – a is a factor of f(x). Contemporary Abstract Algebra

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Q: 9. Use the field norm to show: a) 1+/2 is a unit in Z [/2] b) -1+v-3 is a unit in Z [1+-3 ]

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