Respuesta :

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x^3 +x^2 +x +1 = x^2(x +1) + x +1 = (x^2 +1)(x +1)

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Answer:

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

Step-by-step explanation:

Factor [tex]x^3 + x^2 + x + 1[/tex] by grouping

Group first two terms and last two terms

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

Factor out GCF from each group . when we factor out GCF , divide each term by GCF

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

Factor out x+1

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

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