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Standard X

Mathematics

Algebraic Expressions

If x3-6x2+11x...

Question

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

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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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Similar questions

Q. If

x^{3} - 6 x^{2} + 11 x - 6

= (

x - 1

)(

x - 2

)(

x + a

),
then

a

= .

Q. The expansion of

(x + 1) (x + 2) (x + 3)

is :

Q. Factorise the expression

x^{3} - 6 x^{2} + 11 x - 6

Q. Find all the zeros of

x^{3} + 6 x^{2} + 11 x + 6

(x + 1)

is a factor.

Q. Divide

x^{3} - 6 x^{2} + 11 x - 6

x^{2} + x + 1

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

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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If x3−6x2+11x−6 = (x−1)(x−2)(x+a), then a = .

The correct option is D -3Given, x3−6x2+11x−6 = (x−1)(x−2)(x+a). By equating the constant terms, we get -6 = (-1)×(-2)×(a), ⇒ 2a = -6. ⇒ a = -3.

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EXAMS

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FREE TEXTBOOK SOLUTIONS

STATE BOARDS

FOLLOW US

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

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.