Grade B Factorising Quadratics If you have any

Grade B Factorising Quadratics If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Expand – multiply out Binomial Quadratic Linear Collect Constant Negative Product

How to Factorise a quadratic expression • Factorising means to see what is a common multiple and put in brackets. • To factorise quadratics you need to start with your brackets and x terms. 1 and 24 2 and 12 3 and 8 4 and 6 To complete the brackets: 1) List the factors of 24 2) Find the ones that sum to 10 3) Put them in the brackets with + in the middle.

What about negative numbers? 1 and 18 2 and 9 3 and 6 -3+-6=-9 To complete the brackets: 1) List the factors of 18 2) Find the ones that sum to -9 3) Put them in the brackets with the correct sign to make the sum work.

What about a mixture of positive and negative numbers? 1 and 12 2 and 6 3 and 4 To complete the brackets: 1) List the factors of 12 2) Find the ones that sum to -1 3) Put them in the brackets with the correct sign to make the sum work. +3+-4=-1

The difference of two squares When it looks like the x term is missing from the middle and both the first and last terms are squares then there is less work to do! One + and one -

Practice Factorise each of the quadratic expressions. 3 + +

Practice Factorise each of the quadratic expressions. 3 + +

x