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Math Tutorial 6.4 - Factorising

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There are 4 lessons in this math tutorial covering Factorising. The tutorial starts with an introduction to Factorising and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Factorising. you can access all the lessons from this tutorial below.


In this Math tutorial, you will learn:

  • What is factorising?
  • What is the relationship between factorising and expanding?
  • What do all terms of an algebraic expression have in common if the expression can be factorised?
  • How to factorise an algebraic expression.
  • What do the eight special algebraic expressions relate to in factorisation?
  • What are quadratics? How to factorise them?

Introduction

In the previous two tutorials we discussed expanding brackets (Math tutorial 6.2), where brackets are removed to get an equivalent expression without them(Math tutorial 6.3). It is clear that to complete the cycle of this topic, we must also explain the inverse, i.e. how to collect an expanded expression into a single or a group of brackets. This is precisely what we will deal with in this tutorial.

Please select a specific "Factorising" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Expressions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
6.4Factorising
Lesson IDMath Lesson TitleLessonVideo
Lesson
6.4.1What does Factorising Mean?
6.4.2The Meaning of Quadratics
6.4.3Factorising Quadratics of the Form x2 + bx + c (a = 1)
6.4.4Factorising Quadratics of the Form ax2 + bx + c (a ≠ 1)

Whats next?

Enjoy the "Factorising" math tutorial? People who liked the "Factorising" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Expressions Video tutorial: Factorising. Watch or listen to the Factorising video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Expressions Revision Notes: Factorising. Print the notes so you can revise the key points covered in the math tutorial for Factorising
  4. Expressions Practice Questions: Factorising. Test and improve your knowledge of Factorising with example questins and answers
  5. Check your calculations for Expressions questions with our excellent Expressions calculators which contain full equations and calculations clearly displayed line by line. See the Expressions Calculators by iCalculator™ below.
  6. Continuing learning expressions - read our next math tutorial: Algebraic Fractions

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