Polynomial Proof: Verification & Correction

  • Context:
  • Thread starter Thread starter Joe20
  • Start date Start date
  • Tags Tags
    Polynomial Proof
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
Sign up Log in
1 reply · 1K views
Joe20
Messages
53
Reaction score
1
I would like to have verification if the following attached proof is correct. If it is not correct, what can be done to make it correct? Thanks.
 

Attachments

  • pp.png
    pp.png
    15.4 KB · Views: 108
Physics news on Phys.org
Alexis87 said:
I would like to have verification if the following attached proof is correct. If it is not correct, what can be done to make it correct? Thanks.

Hi Alexis87,

It looks all correct to me.
For clarity I would just add a final sentence saying that therefore f(x+c) is reducible, which is a contradiction.
 

Similar threads

Undergrad Analogy question for algebraists
  • Stephen Tashi
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Undergrad Solve the problem involving Rings
  • chwala
  • · Replies 5 ·
  • Linear and Abstract Algebra
Replies
5
Solve Part (b) of Nonzero Polynomials | Help Needed
  • Joe20
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Undergrad Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals
  • Hardy
  • · Replies 0 ·
  • Linear and Abstract Algebra
Replies
0
Undergrad What Conditions Ensure the Minimal Polynomial of α Divides P in Galois Theory?
  • giulio_hep
  • · Replies 12 ·
  • Linear and Abstract Algebra
Replies
12
Undergrad Uniqueness of reduced row echelon form (proof verification)
  • psie
  • · Replies 4 ·
  • Linear and Abstract Algebra
Replies
4
Undergrad Use of induction in the proof of the Chinese Remainder Theorem
  • Hill
  • · Replies 7 ·
  • Linear and Abstract Algebra
Replies
7
Undergrad Separable Polynomials - Remarks by Dummit and Foote .... ....
  • Math Amateur
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Undergrad Localizing single variable quotient polynomial ring at a prime ideal
  • elias001
  • · Replies 6 ·
  • Linear and Abstract Algebra
Replies
6
Ideals and Ker(f) Solution for (a), (b), and (c)
  • Joe20
  • · Replies 12 ·
  • Linear and Abstract Algebra
Replies
12