| Exam Board | OCR |
|---|
| Module | Further Pure Core 1 (Further Pure Core 1) |
|---|
| Session | Specimen |
|---|
| Topic | Roots of polynomials |
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6 The equation \(x ^ { 3 } + 2 x ^ { 2 } + x + 3 = 0\) has roots \(\alpha , \beta\) and \(\gamma\).
The equation \(x ^ { 3 } + p x ^ { 2 } + q x + r = 0\) has roots \(\alpha \beta , \beta \gamma\) and \(\gamma \alpha\).
Find the values of \(p , q\) and \(r\).