Pass Check: Factorising
Factorising is the reverse of expanding: pulling common factors back into brackets.
Factorise
To write an expression as a product using brackets, the reverse of expanding.
Common factor
A number or letter that divides exactly into every term in an expression.
Highest common factor (HCF)
The largest common factor shared by all terms.
Quadratic expression
An expression with a squared term as its highest power, e.g. x² + 5x + 6.
Quick check
Mixed quiz
1. Which factorises to 3(x+4)?
2. Which factorises 6x² + 11x + 3?
3. Which factorises x² - 16?
4. Which expands to 3x + 15?
5. Which expands to x² - 9?
6. Which is the correct expansion of (x+2)³?
7. Which is the correct rearrangement of P = A(1+rt) for A?
8. Which formula correctly gives the area of a rectangle with length l and width w?