1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?

    Thanks
     
  2. jcsd
  3. Apr 17, 2012 #2
    Yes to both.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Evaluation Homomorphism
  1. Homomorphism of groups (Replies: 2)

  2. Group Homomorphism? (Replies: 3)

Loading...