OCR Further Pure Core 1 2021 June — Question 2

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
Year2021
SessionJune
TopicComplex Numbers Arithmetic
TypeGiven one complex root, find all roots
2 In this question you must show detailed reasoning. You are given that \(x = 2 + 5 \mathrm { i }\) is a root of the equation \(x ^ { 3 } - 2 x ^ { 2 } + 21 x + 58 = 0\).
Solve the equation.
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Q1 Q2 Q3 Q4 Q5 Q6 27