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Question

The polynomial which when divided by −x2 + x − 1 gives a quotient x − 2 and remainder 3, is

(a) x3 − 3x2 + 3x − 5
(b) −x3 − 3x2 − 3x − 5
(c) −x3 + 3x2 − 3x + 5
(d) x3 − 3x2 − 3x + 5

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Solution

We know that

Therefore,

The polynomial which when divided by gives a quotient and remainder 3, is

Hence, the correct choice is.


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