Expanding and Factorising
Factorising by Sum and Product {Part 2}

Expanding and Factorising

Pre-Test

• Pre-Test

​Algebra skills {revision}

• Substitution
• Simplifying by collecting like terms

​​Algebra skills

• Rearranging formulas

​Expansion

• The distributive law
• FOIL expansion
• Special situations
• Further expansion

Factorisation

• Factorising By HCF
• Factorising by sum and product {Part 1}
• Factorising by sum and product {Part 2}​

When factorising quadratic trinomials where a=1, we can use a process known as the sum and product method, where we look for a pair of numbers with a sum of the coefficient of x, and a product of the constant. However, sometimes there is a common factor that may need to be removed first to make a=1.