Solved: What is the kernel of f and explain why, Algebra

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What is the kernel of f and explain why

Question:

Field quotients

Let R = Z[x]. Let f : R -----> C be defined by evaluation of polynomials at sqrt (-5), which we know to be a homomorphism.

a. What is the kernel of f? why?

b. the image of f is a subring of C. describe it and its field quotients. No proof.

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Algebra: What is the kernel of f and explain why

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