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.

The Factor TheoremQuestionsModel answers

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.