Assertion : $x^{3} + x$ has only one real zero. Reason: A polynomial of nth degree must have n real zeroes.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Reason is false [ $∵$ a polynomial of nth degree has at most n REAL zeroes.]
Again, $x^{3} + x = x (x^{2} + 1)$ which has only one real zero $(x = 0)$
$[∵ x^{2} + 1 \neq 0$ for all $x ϵ R]$
$∴$ Assertion is true

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Choose the correct option.

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