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How can I factor the polynomial $x^8+x^4+x^3+x^2+x+1$ over $F_2$ [closed]

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0 $begingroup$ I read a solution in a book and here are the steps in it. but I don't understand how $g_i(x)$ is got.So how did he get it or is there some other ways to find the answer? ring-theory finite-fields factoring share | cite | improve this question edited Dec 28 '18 at 17:52 Pratyush Sarkar 2,800 12 27 asked Dec 28 '18 at 17:22 MickyZr MickyZr 9 2 $endgroup$ ...