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Factoring algebraic expressions worksheet (with solutions)

Factoring algebraic expressions worksheet (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

6 July 2026

pdf, 95.94 KB
pdf, 95.94 KB

A worksheet on factoring algebraic expressions. The exercises require factoring simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.

Get this resource as part of a bundle and save up to 48%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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Factoring Polynomials Worksheets BUNDLE - Quadratics & GCF | Algebra 1 & 2

Three worksheet on factoring binomials and trinomials. The exercises require factoring simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one or greater. Detailed solutions are included. Master factoring polynomials and quadratic expressions with this clear, comprehensive **Algebra, GCSE Maths, Key Stage 3 / Key Stage 4, and A-Leve**l worksheet bundle. Designed for independent practice, cover lessons, and revision, this zero-prep printable bundle guides students step-by-step through single-bracket factorisation, difference of two squares, perfect square trinomials, and quadratic expressions with leading coefficients of 1 and greater. Complete worked step-by-step solutions are included to make marking fast and effortless for teachers, or to support independent student self-checking. **WHAT IS INCLUDED IN THIS 3-WORKSHEET BUNDLE:** * **Worksheet Set 1: Factoring Algebraic Expressions** Practice with Greatest Common Factor (GCF) extraction, single and multi-variable terms, difference of two squares, perfect square trinomials, multi-step factorisation, and quadratic trinomials. * **Worksheet Set 2: Factoring Quadratic Expressions** Targeted practice with monomial common factors, difference of two squares, trinomials where a = 1, trinomials where a > 1 using decomposition/grouping, and higher-degree expressions. * **Worksheet Set 3: Factoring Quadratics Practice** Comprehensive practice covering GCF, difference of two squares, perfect square trinomials, and quadratic expressions with positive and negative terms. * **Complete Step-by-Step Answer Keys:** Worked-out solutions included for all practice sets. **SKILLS COVERED:** * Extracting Greatest Common Factors (GCF) * Factoring Difference of Two Squares * Factoring Perfect Square TrinomialsFactoring Quadratic Trinomials (a = 1 and a > 1) * Factoring Multi-Variable & High-Degree Expressions * Factoring by Grouping & Decomposition **PERFECT FOR:** * Classroom Classwork & Independent Practice * Homework Assignments * Key Stage 3, Key Stage 4, GCSE Maths, & A-Level Algebra Revision * Emergency Cover Lessons & Sub Plans * Small Group Intervention & Tutoring

£2.90
Bundle

Factorising algebraic expressions Bundle

Three worksheets on factorising algebraic expressions. The exercises require factorising simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.

£3.35
Bundle

Factoring algebraic expressions Bundle 2

Six worksheets on factoring algebraic expressions. The exercises require factoring simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.

£4.85

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