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A First Course in Abstract Algebra Chapter S.22, Problem 27E Let F be a field of characteristic...

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A First Course in Abstract Algebra Chapter S.22, Problem 27E

Let F be a field ofcharacteristic zero and let D bethe formal polynomial differentiation map, sothat. D(a0 + a1x + a2x^2 + ••• + anx^n) = a1 + 2 • a2x + •••+n•anxn-1, i.e.

F be a field of characteristic zero , D:F[x]?F[x].

C) Find the image of F[x] under D. Is it important whichcharacteristic the field has? Can you explain this enough?

http://www.chegg.com/homework-help/wooden-cubes-size-painted-different-color-face-make-children-chapter-S.22-problem-27E-solution-9780201763904-exc

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is the polynomial differentiation mapThen the image of under this mapis given by the set of polynomials If is a polynomial then Therefore the    See Answer
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