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

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1. f(z) = z4 − 6z3 + az2 + bz + 145 where a and b are real constants. Given that 2 + 5i is a root of the equation f(z) = 0 (a) determine the other roots of the equation f(z) = 0 (b) Show all the roots of f(z) = 0 on a single Argand diagram. 2 (7) (2) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS

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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



. Turn over
.


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

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




DO NOT WRITE IN THIS AREA
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)




DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA




2
■■■■

,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




■■■■
Question 1 continued




3
Turn over

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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01, 2,3,3B,3C,3D,,4A,4C and 4D, Core Mathematics, Pure Mathematics,Further Statistics 1, Further Statistics and Further Mechanics 2 QP & MS June 2024
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