| Exam Board | CAIE |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2019 |
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| Session | November |
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| Topic | Polynomial Division & Manipulation |
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1 The polynomial \(\mathrm { f } ( x )\) is defined by
$$f ( x ) = x ^ { 4 } - 3 x ^ { 3 } + 5 x ^ { 2 } - 6 x + 11$$
Find the quotient and remainder when \(\mathrm { f } ( x )\) is divided by \(\left( x ^ { 2 } + 2 \right)\).