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Artusartos

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## Homework Statement

Number 3.42 in this link:

http://www.math.wvu.edu/~hjlai/Teaching/Math541-641/Math_541_HW_4_2004.pdf

The part that I don't understand is...Describe ker ϵ in terms of roots of

polynomials. Does this just mean "What is the kernel of ϵ?"

## Homework Equations

## The Attempt at a Solution

Is my answer correct (I think it's a bit different from the answer in the doc.)...if not, can you tell me why it is wrong?

Ker ϵ = {f(x) in R[x] : ϵ(f(x)) = 0} = [tex]\{f(x) \in R[x]: f(x) = 0 +a_1x + a_2x^2+ ... + a_nx^n\}[/tex]

Thanks in advance