| Exam Board | AQA |
|---|
| Module | Further Paper 2 (Further Paper 2) |
|---|
| Year | 2024 |
|---|
| Session | June |
|---|
| Topic | Roots of polynomials |
|---|
6 The cubic equation
$$x ^ { 3 } + 5 x ^ { 2 } - 4 x + 2 = 0$$
has roots \(\alpha , \beta\) and \(\gamma\)
Find a cubic equation, with integer coefficients, whose roots are \(3 \alpha , 3 \beta\) and \(3 \gamma\)