Let f be field let f fx -gt f the map that sends every, Mathematics

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Let f be field let f fx -gt f the map that sends every

Let F be field. Let f: F[x] -> F the map that sends every polynomial to the sum of its coefficients.

Prove that f is a ring homomorphism and describe its kernel
Prove that Ker f =
Use item (b) to prove that F[x]/ker f = F

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