Odpowiedź:
[tex]x^6-x^5-7x^4+x^3+6x^2=\\\\=x^2(x^4-x^3-7x^2+x+6)=\\\\=x^2(x^4-x^3-7x^2+7x-6x+6)=\\\\=x^2(x^3(x-1)-7x(x-1)-6(x-1))=\\\\=x^2(x-1)(x^3-7x-6)=\\\\=x^2(x-1)(x^3+x^2-x^2-x-6x-6)=\\\\=x^2(x-1)(x^2(x+1)-x(x+1)-6(x+1))=\\\\=x^2(x-1)(x+1)(x^2-x-6)=\\\\=x^2(x-1)(x+1)(x^2+2x-3x-6)=\\\\=x^2(x-1)(x+1)(x(x+2)-3(x+2))=\\\\=x^2(x-1)(x+1)(x+2)(x-3)[/tex]
