Factorising
IGCSE 0580
Topic: Algebra and graphs
Core: C2.2
Factorise by extracting common factors.
Extended: E2.2, E2.3 & E2.5
Factorise by extracting common factors.
Factorise expressions of the form:
ax + bx + kay + kby (Four terms)
a²x² − b²y² (Difference of squares)
a² + 2ab + b²
ax² + bx + c (Trinomials)
ax³ + bx² + cx
Complete the square for expressions in the form.
ax² + bx + c.
Factorise and simplify rational expressions. (Algebraic fractions)
Solve quadratic equations by factorisation & completing the square.
What is factorisation?
In this mathematics lesson, we will look at what factorising is and give some examples.
Common fractions?
In this mathematics lesson, we will look at how to factorise when there are fractions involved.
How to factorise common brackets
In this mathematics lesson, we will look at how to factorise when there common brackets in terms.
Factoring common bracket tricks
In this mathematics lesson, we will examine how to factorise when brackets look common, but the signs differ. There are some tricks we can do to solve these types of problems.
Factoring difference of squares
In this mathematics lesson, we will examine how to factorise the difference of squares.
Extended
Factoring when there are multiple terms
In this mathematics lesson, we will see that we can factorise when there are multiple terms.
Extended
Factoring trinomials. Extremely important lesson
This is a crucial lesson for your IGCSE exams. Factorising trinomials is very important later on when we draw graphs. Make sure you understand this work before moving on.
Extended
Don't get trinomial tunnel vision
Always check if there are common factors in the terms, even though it might look like a normal trinomial.
Extended
When the coefficient of x² is not 1 - Safe method
This is a little tricky - make sure you understand factoring trinomials before you watch this video.
Extended
When the coefficient of x² is not 1 - underground math method
This is a little tricky - make sure you understand factoring trinomials before you watch this video.
Extended
Factoring when there are four terms
In this mathematics lesson, we will see that we can factorise when there are four terms, but nothing in common in all the terms.
Extended
Complete the square
In this lesson, we will look at why we need to complete the square to factorise.
Extended
Complete the square - Part 2
In this lesson, we will look at why we need to complete the square to factories. View the linear function series here
Extended
Complete the square - Part 3
In this lesson, we will look at why we need to complete the square to factories.
Extended
Algebraic Fractions
They look worse than they are.
Extended
Algebraic Fractions Past Paper Questions
Some Past paper examples of algebraic fractions.
They look worse than they are.
I mention this factorizing trick in the video: https://youtu.be/7eQws4Eihao
Extended
Quadratic Formula
This is not needed for IGCSE exam, but it will help to follow along and see how we complete the square with variables 🙂
Past Paper Questions
Here are some more past paper questions that you can try on your own.
