If one of the factors of $x^{2} - 6 x - 16$ is (x + 2) then other factor is

x + 5

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x - 5

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x + 8

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x - 8

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Solution

The correct option is D x - 8
$x^{2} - 6 x - 16$
$- 8 \times 2 = - 16$
$- 8 + 2 = - 6$
Splitting middle term
$x^{2} - 8 x + 2 x = 16$
$(x - 8) (x + 2)$

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