Explore BrainMass
Share

Polynomial rings

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Any help is greatly appreciated, I assure you. Thank you!

© BrainMass Inc. brainmass.com March 21, 2019, 4:01 pm ad1c9bdddf
https://brainmass.com/math/ring-theory/polynomial-rings-appreciated-171547

Attachments

Solution Preview

Please see the attachment.

Proof:
(a) For , we can rewrite it as .
If is reducible, then for some and in . I claim that . If , then we have for some . Then is a zero point of . Thus for any . But we note that ...

Solution Summary

This shows how to prove that given polynomials are irreducible.

$2.19