Answer :

[tex]x^3+x^2-x-1=0\\ x^2(x+1)-1(x+1)=0\\ (x^2-1)(x+1)=0\\ (x-1)(x+1)(x+1)=0\\ (x-1)(x+1)=0\\ x=1 \vee x=-1[/tex]

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