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Factorising into Double Brackets

Factorising Quadratic Expressions (C) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Collecting like terms. Expranding single brackets.
Learning Objective: Factorising quadratic expressions including using difference of two squares

Factorising Quadratic Expressions (C) WORKSHEET DESCRIPTION

Factorising Quadratic Expressions C is for learners that can already factorise into double brackets and are ready for a challenge. There are 36 questions in total across two sections and an extension.

Throughout section A, learners will need to manipulate the expressions before factorising into double brackets by collecting like terms or expanding single brackets and simplifying. Expressions to be factored include those with a coefficient of x squared greater than 1.

Then in section B, pupils will factorise using the difference of two squares. The section again progresses to include expressions which need to be manipulated before being factorised. This can involve taking out a factor before the difference of two squares can be used.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Factorising Quadratic Expressions Worksheet fit for students in year 10 and year 11

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Frequently Asked Questions

This worksheet is designed for students targeting GCSE grades 6-7, making it suitable for higher-tier candidates. The challenging nature means students should already be confident with basic factorising before attempting these problems. It's particularly well-suited for Year 10 and Year 11 pupils who are working towards the upper grade boundaries.