A2 June 2024 Paper 1 Q1

AQACurrent spec1 markUsing Roots of Polynomials

1 The roots of the equation \(20x^3 - 16x^2 - 4x + 7 = 0\) are \(\alpha\), \(\beta\) and \(\gamma\)

Find the value of \(\alpha\beta + \beta\gamma + \gamma\alpha\)

Circle your answer. [1 mark]

  • \(-\dfrac{4}{5}\)
  • \(-\dfrac{1}{5}\)
  • \(\dfrac{1}{5}\)
  • \(\dfrac{4}{5}\)