Factorising
Factor GCF, difference of squares, perfect square trinomials, monic quadratics, non-monic quadratics (NEW v9), sum/difference of cubes, factor completely, and factor by grouping (NEW v9).
9 worksheetsRead the explainer →
- 1Factor Out GCFIdentify and factor out the greatest common factor from a polynomial.adaptive
- 2Factor Difference of SquaresApply a²-b²=(a+b)(a-b) to factorise difference of two squares.adaptive
- 3Factor Perfect Square TrinomialsRecognise and factorise perfect square trinomials as (a±b)².adaptive
- 4Factor Monic Quadratics (x² + bx + c)Find two numbers that multiply to c and add to b to factorise x²+bx+c.adaptive
- 5Factor Non-Monic Quadratics (ax² + bx + c)Use the AC method to factorise quadratics where the leading coefficient is not 1.adaptive
- 6Factor Sum and Difference of CubesApply a³±b³=(a±b)(a²∓ab+b²) to factorise sum and difference of cubes.adaptive
- 7Factor CompletelyFactorise expressions completely by applying multiple factorising techniques.adaptive
- 8Factor by GroupingFactorise four-term polynomials by grouping terms with common factors.adaptive
- 9Factorising Mixed ReviewMixed practice choosing and applying the correct factorising strategy.adaptive