Paper 1: Core Pure Mathematics 1 June 2024, Question 1 9 marks
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
determine the other roots of the equation f(z) = 0
Reveal mark scheme
Show all the roots of f(z) = 0 on a single Argand diagram.
Reveal mark scheme