Factorise Quadratics

Maths: Edexcel A Level Pure Maths, topic 2.2.2

Factorising Quadratics

We can solve quadratics using factorisation. We get two solutions, one from each bracket.

Find pairs of numbers which multiply to give (-8)

Find pairs of numbers which multiply to give (-8)

Choose the pair which also adds to give 2

Choose the pair which also adds to give 2

These numbers multiply to give (-8) and add to give 2

These numbers multiply to give (-8) and add to give 2

Write these two numbers in the brackets

Write these two numbers in the brackets

We have now factorised the equation

We have now factorised the equation

One solution is when the first bracket 0

One solution is when the first bracket = 0

This gives x 2

This gives x = 2

The second solution is when the second bracket 0

The second solution is when the second bracket = 0

This gives x -4

This gives x = -4

These are the two solutions to the quadratic

These are the two solutions to the quadratic

Test yourself on Factorise Quadratics

Practise this topic for free