| Exam Board | AQA |
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| Module | Further Paper 1 (Further Paper 1) |
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| Year | 2020 |
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| Session | June |
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| Topic | Complex numbers 2 |
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4 （a）Express \(z ^ { 4 } - 2 z ^ { 3 } + p z ^ { 2 } + r z + 80\) as the product of two quadratic factors with real coefficients．
［4 marks］
4 It is given that \(1 - 3 \mathrm { i }\) is one root of the quartic equation
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4 (b) Find the value of \(p\) and the value of \(r\).