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A-Level MathematicsYear 2020Q6

19 Turn over Question 6 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 6 is 16 marks) 20 7. f(z) = z4 + az3 + bz2 + cz + d where a, b, c and d are real constants. The equation f(z) = 0 has complex roots z1, z2, z3 and z4 When plotted on an Argand diagram, the points representing z1, z2, z3 and z4 form the vertices of a square, with one vertex in each quadrant. Given that z1 = 2 + 3i, determine the values of a, b, c and d. (6) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:8FM0_01_que_20201006.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)