Expanding and Factorising
Factorising by Sum and Product {Part 1}

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 the Highest Common Factor (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.