AQA Further Paper 2 2022 June — Question 3

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
Year2022
SessionJune
TopicRoots of polynomials

3 The roots of the equation \(x ^ { 2 } - p x - 6 = 0\) are \(\alpha\) and \(\beta\) Find \(\alpha ^ { 2 } + \beta ^ { 2 }\) in terms of \(p\)
Circle your answer.
\(p ^ { 2 } - 6\)
\(p ^ { 2 } + 6\)
\(p ^ { 2 } - 12\)
\(p ^ { 2 } + 12\)