| Exam Board | OCR |
|---|
| Module | Further Pure Core AS (Further Pure Core AS) |
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| Year | 2021 |
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| Session | November |
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| Topic | Roots of polynomials |
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2 The equation \(2 x ^ { 3 } + 3 x ^ { 2 } - 2 x + 5 = 0\) has roots \(\alpha , \beta\) and \(\gamma\).
Use a substitution to find a cubic equation with integer coefficients whose roots are \(\alpha + 1 , \beta + 1\) and \(\gamma + 1\).