The quotient obtained when x 3-3 x 2- x -2 is divided by x -2 is - A- x2-x-1B- x2-x-1C- x2-x-1D- x2-x-1

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Standard VIII

Mathematics

Division of a Polynomial by a Binomial

The quotient ...

Question

The quotient obtained when $x^{3} - 3 x^{2} + x + 2$ is divided by $x - 2$ is .

x^{2} + x + 1

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x^{2} - x - 1

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x^{2} + x - 1

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x^{2} - x + 1

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Solution

The correct option is D $x^{2} - x + 1$
The division is shown below:
Hence, the quotient obtained when $x^{3} - 3 x^{2} + x + 2$ is divided by $x - 2$ is $x^{2} - x + 1$ .

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Q. x + 1 is a factor of the polynomial
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(b) x³ + x² + x + 1
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Find the quotient when $x^{3} + 2 x^{2}$ - x - 2 is divided by (x + 2)

$x + 1$ is a factor of the polynomial
$A .$ $x^{3} + x^{2} - x + 1$
$B .$ $x^{3} + x^{2} + x + 1$
$C .$ $x^{4} + x^{3} + x^{2} + 1$
$D .$ $x^{4} + 3 x^{3} + 3 x^{2} + x + 1$

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The quotient obtained when x3−3x2+x+2 is divided by x−2 is .

The correct option is D x2−x+1The division is shown below: Hence, the quotient obtained when x3−3x2+x+2 is divided by x−2 is x2−x+1.

The quotient obtained when $x^{3} - 3 x^{2} + x + 2$ is divided by $x - 2$ is .

The correct option is D $x^{2} - x + 1$
The division is shown below:
Hence, the quotient obtained when $x^{3} - 3 x^{2} + x + 2$ is divided by $x - 2$ is $x^{2} - x + 1$ .