OCR Further Pure Core AS 2021 November — Question 3

Exam BoardOCR
ModuleFurther Pure Core AS (Further Pure Core AS)
Year2021
SessionNovember
TopicComplex Numbers Arithmetic
TypeGiven one complex root, find all roots
3 In this question you must show detailed reasoning.
The equation \(x ^ { 4 } - 7 x ^ { 3 } - 2 x ^ { 2 } + 218 x - 1428 = 0\) has a root \(3 - 5 i\).
Find the other three roots of this equation.
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