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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 1: Core Pure Mathematics 1

Teaching Nov 3, 2025

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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 1: Core Pure Mathematics 1 f(z) = z3 + az + 52      where a is a real constant Given that 2 – 3i is a root of the equation f(z) = 0 (a) write down the other complex root. (1) (b) Hence (i) solve completely f(z) = 0 (ii) determine the value of a (4) (c) Show all the roots of the equation f(z) = 0 on a single Argand diagram.

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