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UFM Pure
Roots of polynomials
Q8
OCR MEI Further Pure Core 2019 June — Question 8
Exam Board
OCR MEI
Module
Further Pure Core (Further Pure Core)
Year
2019
Session
June
Topic
Roots of polynomials
8 In this question you must show detailed reasoning. The roots of the equation \(x ^ { 3 } - x ^ { 2 } + k x - 2 = 0\) are \(\alpha , \frac { 1 } { \alpha }\) and \(\beta\).
Evaluate, in exact form, the roots of the equation.
Find \(k\).
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