CAIE FP1 2012 June — Question 1

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJune
TopicRoots of polynomials
1 The roots of the cubic equation \(x ^ { 3 } - 7 x ^ { 2 } + 2 x - 3 = 0\) are \(\alpha , \beta , \gamma\). Find the values of
  1. \(\alpha ^ { 2 } + \beta ^ { 2 } + \gamma ^ { 2 }\),
  2. \(\alpha ^ { 3 } + \beta ^ { 3 } + \gamma ^ { 3 }\).
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