Any help is greatly appreciated, I assure you. Thank you!© BrainMass Inc. brainmass.com March 21, 2019, 4:01 pm ad1c9bdddf
Please see the attachment.
(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 ...
This shows how to prove that given polynomials are irreducible.