# Product of irreducible polynomials.

• November 26th 2007, 12:35 PM
Product of irreducible polynomials.
Let $f(x)=x^3+x^2+x+1 \in Z_{2}[x]$. Write f(x) as a product of irreducible polynomials over $Z_{2}$

I have $f(x)=(x^2+1)(x+1)$, they both have zeros in $Z_{2}$, is that right?
• November 26th 2007, 06:10 PM
ThePerfectHacker
Quote:

Let $f(x)=x^3+x^2+x+1 \in Z_{2}[x]$. Write f(x) as a product of irreducible polynomials over $Z_{2}$
I have $f(x)=(x^2+1)(x+1)$, they both have zeros in $Z_{2}$, is that right?
So far correct but $x^2+1 = (x+1)^2$.