WJEC Further Unit 1 2023 June — Question 3

Exam BoardWJEC
ModuleFurther Unit 1 (Further Unit 1)
Year2023
SessionJune
TopicComplex Numbers Arithmetic
TypeGiven one complex root, find all roots
3. Given that \(5 - \mathrm { i }\) is a root of the equation \(x ^ { 4 } - 10 x ^ { 3 } + 10 x ^ { 2 } + 160 x - 416 = 0\),
  1. write down another root of the equation,
  2. find the remaining roots.
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