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Factor and remainder theorems past paper questions

Pure Maths 3 9709 · Algebra. Use the factor and remainder theorems to find factors, remainders, unknown coefficients and solve polynomial equations.

In Cambridge A Level Pure Maths 3 9709, Factor and remainder theorems came up in 12 of the 42 papers on Paperstreak, for about 5 marks a paper when it does. It last came up in October/November 2025.

Often set with Polynomial division.

12 questions, newest first

1. 9709/32/O/N/25 Question 5 part (b) · 5 marks
2. 9709/31/M/J/25 Question 5 · 5 marks
3. 9709/32/F/M/25 Question 9 parts (a) (c) · 7 marks
4. 9709/31/O/N/24 Question 1 · 5 marks
5. 9709/33/M/J/24 Question 7 parts (a) (c) · 4 marks
6. 9709/32/O/N/23 Question 3 · 5 marks
7. 9709/33/O/N/23 Question 3 · 5 marks
8. 9709/31/M/J/23 Question 10 part (a) · 2 marks
9. 9709/32/O/N/22 Question 2 part (a) · 2 marks
10. 9709/31/M/J/22 Question 5 part (a) · 5 marks
11. 9709/32/M/J/22 Question 3 · 5 marks
12. 9709/32/F/M/21 Question 2 · 5 marks

More in Algebra: Modulus, Polynomial division, Partial fractions, Binomial expansion for any rational n.

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