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 C $x^{2} - x + 1$
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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