The value of $x^{3} + 18 x^{2} + 108 x + 341$ , when $x = - 11$ is

2

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0

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Solution

The correct option is D $0$
$x^{3} + 18 x^{2} + 108 x + 341 = (- 11)^{3} + 18 \times 11^{2} + 108 \times - 11 + 341$
$= - 1331 + 18 \times 121 + (- 1188) + 341$
$= - 1331 + 2178 - (1188 + 341)$
$= - 1331 - 1188 + 2178 + 341$
$= - 2519 + 2519$
$= 0$

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