Year 9 Maths — Factorisation

Break an algebraic expression into factors, and use those factors to divide one expression by another.

Name: ________________________

1.Which of these is 4x² - 9 written in factorised form?
- a) (2x - 9)(2x + 1)
- b) (4x - 3)(x + 3)
- c) (2x - 3)(2x - 3)
- d) (2x - 3)(2x + 3)
2.x² - 49 factorises as (x - 7)(x + ?). What number belongs in place of the question mark?
3.Divide x² + 5x + 6 by x + 2. Write the answer.
4.Put these expressions in order by the highest common factor of their terms, smallest first.
- 6x + 18
- 3x + 9
- 14x + 21
- 10x + 25
- 4x + 8
5.Which of these is x² + 10x + 25 written in factorised form?
- a) (x + 25)(x + 1)
- b) (x + 5)²
- c) (x + 10)²
- d) (x + 5)(x - 5)
6.What is the highest common factor of the two terms in 12x + 18?
7.Take a out of a² + ab as a common factor. What is left inside the bracket?
8.Divide 15x⁴ by 5x². Write the answer.

Answer key — Year 9 Maths — Factorisation