<prompt> Hebux8 3x4 - 4 p_1x p_2x dotsm p_kx,ambapo kila polinomia isiyobadilika p_ix ni monic yenye viambajengo kamili, na haiwezi kuwa imechangiwa zaidi juu ya nambari kamili. Kokotoa p_11 p_21 vitone p_k1.  <response>: Kwanza, tunaweza kuhesabu x8 3x4 - 4 kama x4 - 1x4 4. Kishax4 - 1 x2 1x2 - 1 x2 1x - 1x 1,na Sophie Germain,x4 4 x4 4x2 4 - 4x2 x2 22 - 2x2 x2 2x 2x 2 - 2x 2.Kwa hivyo, uainishaji kamili nix8 3x4 - 4 x2 1x - 1x 1x2 2x 2x2 - 2x 2. Kutathmini kila kipengele kwa x 1, tunapata 2 0 2 5 1 10. 