Let $\displaystyle f(x)=x^3+x^2+x+1 \in Z_{2}[x] $. Write f(x) as a product of irreducible polynomials over $\displaystyle Z_{2}$

I have $\displaystyle f(x)=(x^2+1)(x+1)$, they both have zeros in $\displaystyle Z_{2}$, is that right?

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

I have $\displaystyle f(x)=(x^2+1)(x+1)$, they both have zeros in $\displaystyle Z_{2}$, is that right? - Nov 26th 2007, 06:10 PMThePerfectHacker