The number of rational roots of $x^{10} - x^{9} - 2 = 0$ :

3

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2

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1

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0

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Solution

The correct option is C $1$
$x^{10} - x^{9} - 2 = x^{10} - 2 x^{9} + 1 x^{9} - 2 = (x^{9} + 1) (x - 2)$
$x = 2, x^{9} = - 1 \Rightarrow x = \sqrt[9]{- 1}$
Hence it has only one rational root.

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