Find the quotient obtained when $x^{4} + x^{3} - 2 x^{2} + x - 1$ is divided by $x - 1$ .
(3 marks)

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Solution

The required division is shown below:
(2 marks)

Hence, the quotient obtained when $x^{4} + x^{3} - 2 x^{2} + x - 1$ is divided by $x - 1$ is $x^{3} + 2 x^{2} + 1$ .
(1 mark)

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