| Exam Board | WJEC |
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| Module | Further Unit 1 (Further Unit 1) |
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| Year | 2022 |
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| Session | June |
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| Topic | Roots of polynomials |
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6. The roots of the cubic equation
$$2 x ^ { 3 } + p x ^ { 2 } - 126 x + q = 0$$
form a geometric progression with common ratio - 3 .
Find the possible values of \(p\) and \(q\), giving your answers in surd form.