1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Polynomials Proof

  1. Apr 26, 2008 #1
    1. The problem statement, all variables and given/known data
    For polynomials over a field F, prove that every non constant polynomial can be expressed as a product of irreducible polynomial.

    2. Relevant equations
    No relevant equations.

    3. The attempt at a solution
    Well a hint the teacher gave me was that the degree of the irreducible polynomial
    has to be the same as the original polynomial.
  2. jcsd
  3. Apr 26, 2008 #2


    User Avatar
    Science Advisor

    Surely you misunderstood. I have no idea what you mean by "the irreducible polynomial" since you are talking about a product of such things and there will generally be more than one. Also the total degree must be equal to the pdegree of the original polynomial. For example x2- a2= (x- a)(x+ a) is a second degree polynomial that is the product of two first degree irreducible polynomials.

    Start with the definitions of "reducible" and "irreducible".
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook