| Exam Board | AQA |
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| Module | Further AS Paper 1 (Further AS Paper 1) |
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| Year | 2023 |
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| Session | June |
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| Topic | Roots of polynomials |
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4 The roots of the equation
$$5 x ^ { 3 } + 2 x ^ { 2 } - 3 x + p = 0$$
are \(\alpha , \beta\) and \(\gamma\)
Given that \(p\) is a constant, state the value of \(\alpha \beta + \beta \gamma + \gamma \alpha\)
Circle your answer.
\(- \frac { 3 } { 5 }\)
\(- \frac { 2 } { 5 }\)
\(\frac { 2 } { 5 }\)
\(\frac { 3 } { 5 }\)