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Artusartos

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[tex]\epsilon : a_0 + a_1x + a_2x +· · ·+a_n x^n \rightarrow a_0[/tex],

is a homomorphism. Describe ker ε in terms of roots of polynomials.

In order to show that it is a homomorphism, I need to show that ε(1)=1, right?

But [tex]\epsilon(1) = a_0+a_1+...+a_n \not= 1 [/tex]

So can anybody help me with this?

Thanks in advance