Factorising Quadratic Expressions - Splitting Down the Middle WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Expanding brackets of linear expressions. Identifying common factors in algebraic terms. Recognising the structure of quadratic expressions. Factorising monic quadratics.
Factorising Quadratic Expressions - Splitting Down the Middle WORKSHEET DESCRIPTION
Provide students with structured practice in factorising quadratic expressions using the method of splitting the middle term.
Section A introduces straightforward grouping examples, such as x(x + 9) + 6(x + 9). Section B builds on this by applying the splitting method more directly, with expressions in the form 3x2 + 9x - 2x - 6.
Section C then challenges students to complete the whole process themselves. The gradual increase in difficulty ensures learners develop fluency with the technique and confidence in tackling a wide variety of quadratics.
If you're looking for other methods, check out our worksheet Factorising Quadratic Expressions – Using the Area Model (B).
Section A introduces straightforward grouping examples, such as x(x + 9) + 6(x + 9). Section B builds on this by applying the splitting method more directly, with expressions in the form 3x2 + 9x - 2x - 6.
Section C then challenges students to complete the whole process themselves. The gradual increase in difficulty ensures learners develop fluency with the technique and confidence in tackling a wide variety of quadratics.
If you're looking for other methods, check out our worksheet Factorising Quadratic Expressions – Using the Area Model (B).
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