| Exam Board | AQA |
|---|
| Module | Further Paper 2 (Further Paper 2) |
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| Year | 2021 |
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| Session | June |
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| Topic | Roots of polynomials |
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5 The equation
$$z ^ { 3 } + 2 z ^ { 2 } - 5 z - 3 = 0$$
has roots \(\alpha , \beta\) and \(\gamma\)
Find a cubic equation with roots
$$\frac { 1 } { 2 } \alpha - 1 , \frac { 1 } { 2 } \beta - 1 \text { and } \frac { 1 } { 2 } \gamma - 1$$