Answer
$-1$ (multiplicity 2) and $1$
Work Step by Step
$x^3+x^2-x-1=0$,
$x^2(x+1)-(x+1)=0$,
$(x+1)(x^2-1)=0$,
$(x+1)(x+1)(x-1)=0$,
thus $x=-1$ (multiplicity 2) and $x=1$
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