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Complex roots of polynomials past paper questions

Pure Maths 3 9709 · Complex numbers. Non-real roots of real polynomials occur in conjugate pairs, e.g. solving a cubic or quartic with one complex root given.

In Cambridge A Level Pure Maths 3 9709, Complex roots of polynomials came up in 6 of the 42 papers on Paperstreak, for about 6 marks a paper when it does. It last came up in May/June 2025.

Often set with Loci in the Argand diagram.

6 questions, newest first

1. 9709/33/M/J/25 Question 4 part (b) · 3 marks
2. 9709/32/M/J/22 Question 10 parts (a) (b) · 7 marks
3. 9709/31/O/N/21 Question 10 parts (a) (b) (c) · 7 marks
4. 9709/33/M/J/21 Question 10 part (b) · 7 marks
5. 9709/31/O/N/20 Question 7 · 7 marks
6. 9709/33/O/N/20 Question 7 · 7 marks

More in Complex numbers: Cartesian form and arithmetic, Modulus, argument and polar form, Loci in the Argand diagram.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.