| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2012 |
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| Session | January |
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| Topic | Polynomial Division & Manipulation |
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1 When the polynomial \(\mathrm { f } ( x )\) is divided by \(x ^ { 2 } + 1\), the quotient is \(x ^ { 2 } + 4 x + 2\) and the remainder is \(x - 1\). Find \(\mathrm { f } ( x )\), simplifying your answer.