A worksheet on polynomial long division. The exercises require to:
- divide a polynomial by a monomial
- divide a binomial by a binomial
- divide a trinomial by a binomial
- find the missing terms in given divisions between polynomials
- find the polynomial which when divided by a given binomial results in a given
- quotient and remainder
- find the value of a parameter in a polynomial so that when it is divided by a given binomial the division is perfect
Detailed solutions are included.
Looking for a comprehensive, no-prep A-Level and GCSE Higher Maths Polynomial Long Division Worksheet to save you hours of planning? This printable resource pack helps secondary students master dividing polynomials by monomials and binomials through structured, scaffolded practice. Complete with full step-by-step worked solutions, it is perfect for independent study, cover lessons, homework, or targeted exam revision!
Stop spending your evenings creating algebra practice worksheets from scratch!
This targeted 3-page printable pack delivers progressive skill-building for algebraic long division. It transitions students smoothly from basic variable reduction to complex algebraic fractions, missing-term puzzles, and working backward with quotients and remainders.
What Skills Are Covered?
- Page 1: Monomial Division: 12 structured drill questions focusing on simple quotients, multiple variables, and rational forms.
- Page 2: Binomial Long Division: 10 scaffolded problems teaching traditional setups with and without remainders.
- Page 3: Extension & Advanced Applications: Fill-in-the-blank coefficient puzzles and working backward from given quotients and remainders.
Why Teachers Love This Resource:
- No-Prep Printables: Just print and copy! Perfect for busy secondary maths departments.
- Step-by-Step Mark Schemes: Full visual long division layout solutions are provided for every single problem to make grading easy or encourage self-directed student checking.
- Rigorous & Scaffolded: Ideal for mixed-ability classes, ranging from GCSE Higher Tier revision to core AS/A-Level and International A-Level foundation testing.
What’s Included in Your Download:
- 3 Printable Student Worksheet Pages (PDF)
- 3 Step-by-Step Teacher Solution Sheets / Mark Schemes
Curriculum Alignments:
- GCSE Higher Tier: Cover advanced algebra and algebraic fractions.
- AS / A-Level Mathematics (Pure Maths): Perfect for the Algebra and Functions topics (Factor Theorem preparation).
- Exam Boards: Highly relevant for Edexcel, AQA, OCR, and Cambridge IGCSE / International A-Level specifications.
Get this resource as part of a bundle and save up to 38%
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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Algebra 2 Polynomials Bundle | Add Subtract Multiply Divide Worksheets & Keys
Looking for a complete, no-prep A-Level and GCSE Higher Maths Polynomials Pack to teach and review core algebraic skills? This comprehensive printable resource guides secondary math students through mastering how to add, subtract, multiply, and divide polynomials with engaging, scaffolded practice. Complete with full step-by-step worked solutions, it is perfect for unit revision, independent classwork, homework, or structured exam prep! This all-in-one 4-part printable booklet delivers progressive skill-building for operations with polynomials. It transitions students smoothly from basic like-term distribution to complex multi-variable operations, missing-term puzzles, and working backward with polynomial identities. **What Skills Are Covered?** * **Adding & Subtracting Polynomials:** 12 structured drills plus 4 advanced fill-in-the-blank coefficient puzzles and function notation applications. * **Multiplying Polynomials:** 18 monomial distribution problems, 14 binomial expansion problems (expanding brackets/perfect squares), missing-term distribution puzzles, and multi-step expansion simplifications. * **Polynomial Long Division:** 12 monomial fraction division drills and 10 scaffolded long division problems with and without remainders. * **Advanced Extensions:** High-level algebraic function operations, solving for missing polynomial coefficients, and proving algebraic identities. **Why Teachers Love This Resource:** * **No-Prep Printables:** Just print and copy! Perfect for busy secondary maths departments or cover lesson plans. * **Step-by-Step Mark Schemes:** Full visual, worked-out layouts are provided for every single problem to make grading effortless or allow for self-directed student checking. * **Rigorous & Scaffolded:** Seamlessly bridges the gap between GCSE Higher Tier algebra and rigorous AS/A-Level or International A-Level foundations. **What's Included in Your Download:** * Printable Student Worksheet Pages for all 4 operations (PDF format) * Step-by-Step Teacher Solution Sheets / Worked Mark Schemes **Curriculum Alignments:** * **GCSE Higher Tier:** Core practice for advanced algebra, multiplying double brackets, and expanding expressions. * **AS / A-Level Mathematics (Pure Maths):** Fundamental algebraic processing, algebraic long division, and preparation for the Factor Theorem and Remainder Theorem. * **Exam Boards:** Highly relevant for Edexcel, AQA, OCR, and Cambridge IGCSE / International A-Level specifications.
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Dividing Polynomials Worksheets Bundle | Algebra 2 Long Division Practice Pack
Three worksheets on dividing polynomials using long division. The exercises require to: * divide a polynomial by a monomial * divide a binomial by a binomial * divide a trinomial by a binomial * find the missing terms in given divisions between polynomials * find the polynomial which when divided by a given binomial results in a given quotient and remainder * find the value of a parameter in a polynomial so that when it is divided by a given binomial the division is perfect The polynomial divisions are with or with no remainder. Detailed solutions to all worksheets are included. Dividing polynomials using long division can be one of the most challenging steps for students to master. This comprehensive, print-and-go bundle includes three distinct multi-page worksheets designed to guide students step-by-step through the process. It moves smoothly from basic monomial division to complex polynomial long division with remainders, and even includes advanced conceptual missing-term puzzles. Whether you need a cohesive unit plan, targeted independent practice, or stress-free cover plans, this bundle saves you hours of planning time. **What is Included in This 3-Worksheet Bundle?** * **Worksheet 1: Introduction to Polynomial Division (Dividing by Monomials)** Features a collection of targeted problems focusing on dividing multi-term algebraic expressions by single-term monomials. Students will master critical index laws and algebraic division setups. * **Worksheet 2: Step-by-Step Polynomial Long Division** Includes carefully scaffolded problems. It transitions smoothly from perfect linear divisors with no remainders to larger cubic expressions that yield traditional remainders. * **Worksheet 3: Advanced Applications & Fill-in-the-Blank Challenges** Pushes students to a deeper conceptual understanding. Features missing-term grid boxes, working backward to find the original polynomial from a quotient and remainder, and solving for constants to make a division perfect. * **Complete Answer Keys:** Fully worked-out, step-by-step long division solution pages for every single problem across all three worksheets, making marking easy and enabling student self-checking. **Why Teachers Love This Bundle** * **No-Prep Printables:** Simply choose your page, hit print, and your lesson is ready to go! * **Generous Student Workspace:** Every problem is laid out inside a clean, spacious grid box, giving your students plenty of room to write down all their algebraic steps neatly. * **Perfect for Scaffolding:** Seamlessly transitions from introductory calculations to advanced algebraic problem-solving. **Educational Curriculum Alignment** * **UK National Curriculum:** Perfect for A-Level Maths pure mathematics modules (Algebraic Methods - Polynomial Division and the Factor/Remainder Theorem) and advanced GCSE Further Maths tracks. * **International Curricula:** Aligns seamlessly with IGCSE Further Maths and IB Math standard and higher level tracks focusing on algebraic manipulation and rational functions.
£3.35
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