| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2019 |
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| Session | November |
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| Topic | Polynomial Division & Manipulation |
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3 The polynomial \(x ^ { 4 } + 3 x ^ { 3 } + a x + b\), where \(a\) and \(b\) are constants, is denoted by \(\mathrm { p } ( x )\). When \(\mathrm { p } ( x )\) is divided by \(x ^ { 2 } + x - 1\) the remainder is \(2 x + 3\). Find the values of \(a\) and \(b\).