Re: FLT in Terms of One Variable

From: Russell E. Rierson (analog57_at_yahoo.com)
Date: 09/06/04 

Date: 5 Sep 2004 23:40:41 -0700

x^2 + [x+1]^2 - [x+5]^2 = 0

x^2 + x^2+2x+1 - x^2 -10x -25 = 0

x^2 -8x -24 = 0

is an irreducible[nonfactorizable] polynomial, for integers x > 0

Not all polynomials of degree 2 are reducible.

Or ...you could say that a specific type of polynomial of degree 2 is
not necessarily reducible. :)) :)) :))

The specific type:

x^n + [x+k]^n - [x+r]^n = 0

Is only factorizably reducible in some cases, for n = 2.

It is "irreducible" for n > 2