AS June 2023 Paper 1 Q4

4 The roots of the equation

\[5x^3 + 2x^2 - 3x + p = 0\]

are \(\alpha\), \(\beta\) and \(\gamma\)

Given that \(p\) is a constant, state the value of \(\alpha\beta + \beta\gamma + \gamma\alpha\)

Circle your answer. [1 mark]

• \(-\dfrac{3}{5}\)
• \(-\dfrac{2}{5}\)
• \(\dfrac{2}{5}\)
• \(\dfrac{3}{5}\)