Product of irreducible polynomials.

**tttcomrader** · November 26th 2007, 01:35 PM

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?

**ThePerfectHacker** · November 26th 2007, 07:10 PM

Originally Posted by tttcomrader

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 $x^2+1 = (x+1)^2$ .

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