AQA Level 2 Further Maths
AQA Level 2 Further Maths The Factor Theorem Exam Questions
Free AQA Level 2 Further Maths exam questions on The Factor Theorem, with full model answers. Covers the Factor Theorem.
The Factor Theorem exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About AQA Level 2 Further Maths The Factor Theorem
The Factor Theorem is a Grade 9+ topic in AQA Level 2 Certificate in Further Maths (8365). It builds on Higher GCSE Maths and leads into A Level. Answer the pack without notes, then mark every line against the model answers.
What you need to know
- Theorem If f(a) = 0, (x − a) is a factor.
- Finding factors Test small integers.
- Fully factorising Divide and factorise the quadratic.
Common mistakes in The Factor Theorem
- Testing −a instead of a.
- Stopping after one factor.
Try two The Factor Theorem exam-style questions
1. Show (x − 1) is a factor of x³ − 6x² + 11x − 6. (1 mark)
Show the mark scheme answer
f(1) = 1 − 6 + 11 − 6 = 0
2. Fully factorise it. (2 marks)
Show the mark scheme answer
(x − 1)(x − 2)(x − 3)
The Factor Theorem FAQs
Is The Factor Theorem in AQA Level 2 Further Maths?
Yes, it is part of the AQA Level 2 Certificate in Further Maths (8365).
What grade is The Factor Theorem?
It is aimed at Grade 9 and above.
How should I use these The Factor Theorem questions?
Answer every question without notes, then check each line against the model answers.