In this short video I show you what we mean by factorising.
What is meant by Factorising? What is a Factor? | ExamSolutions - youtube Video
The first step in factorising is:
ALWAYS check to see if the expression contains any common factors.
In this video, I demonstrate examples on factorising where there is a highest common factor (HCF).
Factorising - Highest Common Factor Types | ExamSolutions - youtube Video
Sometimes when there is no common factor, by grouping several of the terms together it is possible to factorise an expression.
Factor or Factorise by Grouping | ExamSolutions - youtube Video
Quadratic expressions have a distinct look about them. They have the form: ax2 + bx + c where a ≠ 0
When it comes to factorising a quadratic expression, there are particular methods depending on the form of the expression
In the tutorials which follow, I will show you how to factorise the above expressions.
Your first priority in factorising is to check to see if the quadratic expression has a common factor. In this tutorial I introduce you to what a quadratic expression is and then look at factorising quadratic expressions where there is a highest common factor (HCF).
Factorising Quadratic Expressions - youtube Video
Difference of two squares type
Some quadratic expressions do not have a common factor but consist of two terms separated by a minus sign and each term is the square of something. This is known as the difference of 2 squares type. It has the form a2 – b2
Difference of Two Squares - youtube Video
Some quadratic expressions have 3 terms (trinomials) and no common factor yet can still be factorised.
There are two methods of factorising such expressions. 1) by grouping 2) by inspection. Which method you choose is up to you but I generally prefer method 2 as it can be quicker but requires a bit more practice.
Method 1) – Trinomials Grouping Method
Factorising Quadratic Trinomials by Grouping - youtube Video
(Method 2) – Trinomials Inspection Method
Factorising Quadratic Trinomials by Inspection (1/7) - youtube Video
I now extend the work on factorising quadratic trinomials (3 terms) t