OCR MEI Further Pure Core AS Specimen — Question 5

Exam BoardOCR MEI
ModuleFurther Pure Core AS (Further Pure Core AS)
SessionSpecimen
TopicRoots of polynomials
5 The cubic equation \(x ^ { 3 } - 4 x ^ { 2 } + p x + q = 0\) has roots \(\alpha , \frac { 2 } { \alpha }\) and \(\alpha + \frac { 2 } { \alpha }\). Find
  • the values of the roots of the equation,
  • the value of \(p\).
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