Let F be a field of characteristic 3. For a polynomial f e F[X], let f' be the derivative of f. Which of the following maps F(X]F(X] are ring homomorphisms? Select all that apply: O The map f+ f(-1) O The map f+ f' O The map f+f + f' O The map f + f3

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Let F be a field of characteristic 3. For a polynomial f e F[X], let f' be the derivative of f.
Which of the following maps F[X] → F[X] are ring homomorphisms?
Select all that apply:.
O The map f + f(-1)
O The map f + f'
O The map f + f + f'
O The map f + f³
Transcribed Image Text:Let F be a field of characteristic 3. For a polynomial f e F[X], let f' be the derivative of f. Which of the following maps F[X] → F[X] are ring homomorphisms? Select all that apply:. O The map f + f(-1) O The map f + f' O The map f + f + f' O The map f + f³
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