| Exam Board | OCR MEI |
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| 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 \(3 x ^ { 2 } - 4 x + 2 = 0\) has roots \(\alpha\) and \(\beta\).
Find an equation with integer coefficients whose roots are \(3 - 2 \alpha\) and \(3 - 2 \beta\).