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Evaluation Homomorphism

  1. Apr 17, 2012 #1
    1. The problem statement, all variables and given/known data

    For the evaluation homomorphism θ_5: Q[x]→ℝ, find 6 elements in the kernel of the homomorphism.

    3. The attempt at a solution

    Basically, I find 6 polynomials with rational coefficients that will equal zero when evaluated at 5, am I correct on this?

    So far I have 0, x-5, x^2-25. Is x^3-5x^2-25x+125 one also?

  2. jcsd
  3. Apr 17, 2012 #2
    Yes to both.
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