Answer :

[tex](x^3-x^2+x-1)(x^2-1)[/tex]

[tex]x^5-x^3-x^4+x^2+x^3-x-x^2+1[/tex]

[tex]x^5-x^4-x+1[/tex]

[tex]x^4(x-1)-(x-1)[/tex]

[tex](x^4-1)(x-1)[/tex]

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