Factorising perfect-square quadratics
Recognise a perfect-square quadratic and write it as one bracket squared.
- The first and last terms must be squares.
- Check the middle term is twice the product of their square roots.
- Use
for a positive middle term and for a negative middle term.
Example 1
Factorise fully.
Example 2
Factorise fully.
Remember
Square end terms alone are not enough. For example,
Your turn
Question 1
Factorise fully.
Check answer
Question 2
Factorise fully.
Check answer
Question 3
Factorise fully.
Check answer
Question 4
Factorise fully.
Check answer
Question 5
Factorise fully.
Check answer
Factorise fully.
Factorise fully.
Factorise fully.
Factorise fully.
Factorise fully.