Factors of $x^{4} + x^{2} + 1$ are

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

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

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

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

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Solution

The correct option is B
$(x^{2} - x + 1) (x^{2} + x + 1)$
$x^{4} + x^{2} + 1 = (x^{2})^{2} + (1)^{2} + x^{2} + x^{2} - x^{2} = (x^{2} + 1)^{2} - x^{2} = (x^{2} + 1 + x) (x^{2} + 1 - x)$
Hence, the correct answer is option (b)

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