Edexcel FP1 2013 June — Question 3

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJune
TopicRoots of polynomials
3. Given that \(x = \frac { 1 } { 2 }\) is a root of the equation $$2 x ^ { 3 } - 9 x ^ { 2 } + k x - 13 = 0 , \quad k \in \mathbb { R }$$ find
  1. the value of \(k\),
  2. the other 2 roots of the equation.
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