| Exam Board | OCR |
|---|
| Module | Further Pure Core 2 (Further Pure Core 2) |
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| Year | 2022 |
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| Session | June |
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| Topic | Roots of polynomials |
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3 In this question you must show detailed reasoning.
The roots of the equation \(4 x ^ { 3 } + 6 x ^ { 2 } - 3 x + 9 = 0\) are \(\alpha , \beta\) and \(\gamma\).
Find a cubic equation with integer coefficients whose roots are \(\alpha + \beta , \beta + \gamma\) and \(\gamma + \alpha\).