Which of the following is a factor of $x^{33} + 2^{33}$ ?

x + 3

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x + 2

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x^{2} + 2

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x - 2

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Solution

The correct option is B x + 2
We know that $a + b$ is a factor of $a^{n} + b^{n}$ if n is an odd positive integer. Thus, x + 2 is a factor of $x^{33} + 2^{33}$ .
Hence, the correct answer is option (2).

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