[tex]w(x) = x^{5}+x^{4}-2x^{3}-2x^{2}+x+1 = x^{4}(x+1) -2x^{2}(x+1) + (x+1) =\\\\=(x+1)(x^{4}-2x^{2}+1) = (x+1)(x^{2}-1)^{2} = (x+1)(x^{2}-1)(x^{2}-1)=\\\\=(x+1)(x+1)(x-1)(x+1)(x-1)[/tex]
Wyjaśnienie:
[tex]a^{2}-b^{2} = (a+b)(a-b)[/tex]
