OCR MEI Further Pure Core 2023 June — Question 10

Exam BoardOCR MEI
ModuleFurther Pure Core (Further Pure Core)
Year2023
SessionJune
TopicRoots of polynomials
10 The equation \(\mathrm { x } ^ { 3 } - 4 \mathrm { x } ^ { 2 } + 7 \mathrm { x } + \mathrm { c } = 0\), where \(c\) is a constant, has roots \(\alpha , \beta\) and \(\alpha + \beta\).
  1. Determine the roots of the equation.
  2. Find c.
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