The LCM of the polynomials $x^{3} + x^{2} + x + 1$ and $x^{3} - x^{2} + x - 1$ is

x^{2} + 1

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

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

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

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Solution

The correct option is B $x^{2} + 1$
$x^{3} + x^{2} + x + 1 = (x + 1) (x^{2} + 1)$ also $x^{3} - x^{2} + x - 1 = (x - 1) (x^{2} + 1)$
$∴ L . C . M . = (x^{2} + 1)$ .

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