Factors of $(42 - x - x^{2})$ are

(x - 7) (x - 6)

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(x + 7) (x - 6)

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(x + 7) (6 - x)

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(x + 7) (x + 6)

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Solution

The correct option is C $(x + 7) (6 - x)$
$42 - x - x^{2}$
$\Rightarrow - [x^{2} + x - 42]$
$\Rightarrow - [x^{2} + 7 x - 6 x - 42]$
$\Rightarrow - [(x + 7) (x - 6)]$
$\Rightarrow (x + 7) (6 - x)$

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