$x^{2} + 18 x + 77$ = .

(x - 7) (x - 11)

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(x - 7) (x + 11)

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(x + 7) (x - 11)

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(x + 7) (x + 11)

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Solution

The correct option is D $(x + 7) (x + 11)$
Given: $x^{2} + 18 x + 77$ .
Comparing the given expression with the identity $x^{2} + (a + b) x + a b$ we have,
$a b = 77 a n d (a + b) = 18.$
$S o, 11 + 7 = 18 a n d (11) (7) = 77$ .

Hence,
$x^{2} + 18 x + 77$
= $x^{2} + 11 x + 7 x + 77$
= $x (x + 11) + 7 (x + 11)$
= $(x + 7) (x + 11)$

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