Factors of $x^{3} + x^{2} + x + 1$

(x + 1) (x^{2} - 1)

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(x - 1) (x^{2} + 1)

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(x - 1) (x^{2} - 1)

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(x + 1) (x^{2} + 1)

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Solution

The correct option is B $(x + 1) (x^{2} + 1)$
$x^{3} + x^{2} + x + 1 = (x^{3} + x^{2}) + (x + 1)$
$= x^{2} (x + 1) + 1 (x + 1)$
$= (x^{2} + 1) (x + 1)$
Option D is correct.

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