A2 June 2022 Paper 2 Q3

3 The roots of the equation \(x^2 - px - 6 = 0\) are \(\alpha\) and \(\beta\)

Find \(\alpha^2 + \beta^2\) in terms of \(p\)

Circle your answer. [1 mark]

• \(p^2 - 6\)
• \(p^2 + 6\)
• \(p^2 - 12\)
• \(p^2 + 12\)