Edexcel FP1 2009 June — Question 3

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionJune
TopicComplex Numbers Arithmetic
TypeFactored form to roots
3. $$f ( x ) = \left( x ^ { 2 } + 4 \right) \left( x ^ { 2 } + 8 x + 25 \right)$$
  1. Find the four roots of \(\mathrm { f } ( x ) = 0\).
  2. Find the sum of these four roots.
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