If $x^{3} - 6 x^{2} + 11 x - 6$ = ( $x - 1$ )( $x - 2$ )( $x + a$ ),
then $a$ = .

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-2

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-3

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Solution

The correct option is D -3
Given,
$x^{3} - 6 x^{2} + 11 x - 6$ = ( $x - 1$ )( $x - 2$ )( $x + a$ ).
By equating the constant terms, we get
-6 = (-1) $\times$ (-2) $\times$ (a),
$\Rightarrow$ $2 a$ = -6.
$\Rightarrow$ $a$ = -3.

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