Algebra  Factorisation.
Home page.
The resources for factorisation referenced from this page are: 
1. Deciding on the appropriate method. 
2. Common factor. 
3. Difference between two squares. 
4. Quadratics  Cross method. 
5. Quadratics  PSF method. 
6. Completing the square. 
7. Quadratic formula. 
8. Factorising 4 terms. 
9. Factorising twoterm cubic expressions. 
10. Applications of the methods. 
The factorisation technique referred to as the "Cross Method" is described in detail. It is the most preferred method by students to use to complete the factorisation of quadratic expressions and quadratic equations. Some teachers still prefer the generally more difficult PSF method.
Like the Completing of the Square, the Cross Method of factorisation is one which must be learnt really well so that you can use it with confidence in many situations.
1. Identifying the appropriate method.  
2. Common factor.  Summary of steps. 
Common factor  Test Yourself 1.  
Common factor  Test Yourself 2.  
Factorising quadratics  
3. Difference between 2 squares.  Summary of steps to follow with two squares. 
Difference between 2 squares  Test Yourself 1.  
Difference between 2 squares  Test Yourself 2.  
4. Crossmethod.  
Summary of steps to follow using the Cross method.  
Monics.  Monics  Test Yourself 1. 
Monics  Test Yourself 1  Solutions.  
Monics  Test Yourself 2.  
Monics  Test Yourself 2  Solutions.  
Nonmonics.  
Nonmonics  Test Yourself 1.  
Nonmonics  Test Yourself 2  Solutions.  
5. The PSF approach.  
6. Completing the square.  
Summary of the steps to follow when implementing the method.  
Monics  Completing the square on monics  Test Yourself 1. 
Completing the square on monics  Test Yourself 1  Solutions. 

Nonmonics.  
Completing the square on non  monics  Test Yourself 1. 

Completing the square on non  monics  Test Yourself 1  Solutions. 

Monics & nonmonics combined. 
Revision test  Combined types  Test Yourself 1. 
7. The Quadratic formula  Summary of steps to follow with the quadratic formula. 
Quadratic formula  Test Yourself 1.  
Quadratic formula  Test Yourself 1  Solutions.  
8. Factorising expressions with 4 terms.  Summary of the general approaches. 
Factoring 4 terms  Test Yourself 1.  
Factoring 4 terms  Test Yourself 1  Solutions.  
9. Factorising twoterm cubic expressions.  Summary of strategies. 
Two term cubics  Test Yourself 1.  
Two term cubics  Test Yourself 1  Solutions.  
10. Applications of methods.  Applications  Test Yourself 1. 
Applications  Test Yourself 1  Solutions. 