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Math Help - Product of irreducible polynomials.

  1. #1
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    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?
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
    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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