edexcel level 3 gce 8fm0/01 further mathematics advanced subsidiary paper 1: core pure mathematics may 2023

Edexcel Level 3 GCE

8FM0/01

Further Mathematics
Advanced Subsidiary
PAPER 1: Core Pure Mathematics
May 2023




2
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, 1.
 x 9  z y 
y z  3 z y   kI




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   
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where x, y, z and k are constants.

Determine the value of x, the value of y and the value of z.
(4)




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Question 1 continued




(Total for Question 1 is 4 marks)



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, 2. f (z) = z3 + az2 + bz + 175 where a and b are real constants

Given that –3 + 4i is a root of the equation f (z) = 0




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(a) determine the value of a and the value of b.
(4)
(b) Show all the roots of the equation f (z) = 0 on a single Argand diagram.
(2)
(c) Write down the roots of the equation f (z + 2) = 0
(1)




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