Foundation & Higher

Factorising GCSE questions

Factorising GCSE questions with answers. Take out a common factor, then factorise quadratics and difference of two squares.

Check

Expand your answer. You should get back to the question.

Practice questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [1 mark]

Factorise 8x + 12

Question 2 [2 marks]

Factorise x² + 9x + 14

Question 3 [1 mark]

Factorise x² − 16

Question 4 [2 marks]

Factorise x² − 2x − 15

Question 5 [3 marks]

Factorise 3x² + 11x + 6

Common mistakes

Stopping after taking out a number and leaving a leftover term unfactored.

Answers and working

Q1. 4(2x + 3)

Q2. (x + 2)(x + 7)

Q3. (x + 4)(x − 4)

Q4. (x − 5)(x + 3)

Q5. (3x + 2)(x + 3)

Frequently asked questions

Need the method?

Open the factorising lesson for common factor, trinomials and difference of two squares.

Want unlimited practice?

ReviseEasy marks your answers instantly and builds a plan around the topics you keep dropping marks on.

Practise more on ReviseEasy →

Related revision

More GCSE revision

ReviseEasy is a GCSE revision website, not a Maths-only site. Lessons, quizzes and flashcards are live for Maths, Combined Science, Triple Biology, Chemistry and Physics, English Language and English Literature. History, Geography and languages are next.

All GCSE revision Maths Combined Science Biology Chemistry Physics English Language English Literature AQA Edexcel OCR How to revise Year 11 Year 10