Factors of $27 - 6 x - x^{2}$ are:

(3 - x) (9 + x)

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(x - 3) (x + 9)

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(x - 2) (x + 7)

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None of these

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Solution

The correct option is A $(3 - x) (9 + x)$
$27 - 6 x - x^{2} = 27 - 9 x + 3 x - x^{2}$
$= 9 (3 - x) + x (3 - x) = (3 - x) (9 + x)$

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∣ ∣ ∣ ∣ \begin{matrix} x - 2 & 2 x - 3 & 3 x - 4 x - 4 & 2 x - 9 & 3 x - 16 x - 8 & 2 x - 27 & 3 x - 64 \end{matrix} ∣ ∣ ∣ ∣

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