Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01 Core Mathematics QP & MS June 2024

Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01
Core Mathematics QP & MS June 2024

, Centre Number Candidate Number




Pearson Edexcel Level 3 GCE
Wednesday 22 May 2024
Afternoon (Time: 1 hour 30 minutes)
Paper
reference 9FM0/01
Further Mathematics
Advanced
PAPER 1: Core Pure Mathematics 1

You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator



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P75682A
©2024 Pearson Education Ltd.
F:1/1/1/

,1. f(z) = z4 − 6z3 + az2 + bz + 145
where a and b are real constants.




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Given that 2 + 5i is a root of the equation f(z) = 0
(a) determine the other roots of the equation f(z) = 0
(7)

(b) Show all the roots of f(z) = 0 on a single Argand diagram.
(2)




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Question 1 continued




3
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