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Factoring Polynomials by Grouping Worksheet no 3 (with solutions)

Factoring Polynomials by Grouping Worksheet no 3 (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

15 August 2026

png, 160.95 KB
png, 160.95 KB

A worksheet on factoring polynomials by grouping. Detailed solutions are included.

Get this resource as part of a bundle and save up to 45%

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

Bundle

Factoring by Common Factor and Grouping Bundle - 4 Worksheets (with Solutions)

A collection of four worksheets on factoring algebraic expressions for cases where there is a common factor or the method of grouping can be used. One worksheet on factoring linear algebraic expressions by taking out the highest common factor of the terms, one worksheet on factoring algebraic expressions by grouping and two worksheets with exercises of both types. Detailed solutions are included. Download this comprehensive 4-worksheet factorisation bundle focusing on common factors, simplifying linear terms, and algebraic grouping. This premium secondary math pack contains structured practice across multiple skill tiers alongside complete, step-by-step worked teacher solutions. ________________________________________ Are you looking for a rigorous, high-quality algebra pack to take your students from basic common factor extraction to advanced polynomial grouping? This premium math bundle contains 4 distinct factorisation worksheets strategically designed to scaffold pupil learning. By breaking the factorisation process down into clear, sequential milestones, this resource prevents student overwhelm, builds algebraic fluency, and ensures long-term mastery. It is an ideal resource for key stage 4 (KS4) classrooms, GCSE revision cycles, homework assignments, or structured cover work. **Understanding Factorisation: Common Factors, Simplifying, and Grouping** Factorisation is the foundational process of breaking an expression down into a product of simpler terms. This bundle covers three core mechanical variations: **1. Highest Common Factor (HCF) Extraction:** Pupils identify and extract the largest shared numerical or variable term outside a bracket. **2. Collecting Like Terms First:** Before factorising, pupils must expand and collect like terms to simplify the polynomial expression down to its correct structure. **3. The Grouping Method:** For 4-term expressions where a single common factor does not exist across the entire polynomial, students learn to split the expression into pairs, extract partial factors, and isolate matching binomial brackets. This bundle progressively guides pupils through these essential algebraic adaptations. **What is Included in this Pack?** • **Worksheet 1: Introduction to Factorising Algebraic Expressions** o Focuses on extracting basic single numerical and variable factors. o Transitions smoothly from linear terms to multi-variable expressions. o Establishes essential GCF / HCF bracket rules. • **Worksheet 2: Simplify & Factor (Collecting Like Terms)** o Unique multi-step problems requiring pupils to simplify expressions before factorising. o Builds confidence with positive and negative integer operations and tracking minus signs. • **Worksheet 3: Factorising Polynomials by Grouping** o Dedicated practice with 4-term linear systems and higher-degree polynomials (up to the 5th degree). o Challenges pupils to spot and extract matching bracket factors. • Worksheet 4: Advanced Common Factors & Binomial Extractions o Extension exercises including challenging fractional coefficients (such as 2/7 and 1/3). o Ideal for differentiation, high-ability groups, or upper-tier secondary revision. **Ready for the Classroom:** • **Step-by-Step Teacher Solutions:** A full, handwritten-style marking guide is included for all 4 worksheets. It maps out every bracket separation, coefficient adjustment, and variable extraction to save hours of marking or enable pupil self-assessment. • **No-Prep Layout:** Simply download the file, print your copies, and distribute! The clean, uncluttered layout ensures pupils have plenty of designated workspace to write out their calculations directly on the page. **Target Curriculum & Exam Boards:** • **UK Curriculum:** Ideal for GCSE Mathematics (Both Foundation and Higher Tiers) covering the core Algebra strand. Highly suitable for AQA, Edexcel, and OCR specifications. • **International Frameworks:** Aligns perfectly with Year 9 and Year 10 Australian Curriculum Mathematics (Algebraic Techniques) and Cambridge IGCSE frameworks. ________________________________________

£3.35
Bundle

Factoring Polynomials by Grouping Bundle

Three worksheets on factoring algebraic expressions by grouping. Detailed solutions are included.

£2.80

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