Master algebraic division techniques with these A-Level and GCSE Higher Maths algebra worksheets focusing on polynomial long division, factoring polynomials, and the factor theorem. Perfect for KS4 and KS5 lesson practice, independent study, cover lessons, or exam revision, this printable resource contains a comprehensive student sheet alongside complete, fully worked step-by-step long division solutions to save you valuable marking time!
Save time planning your next high school math, upper secondary, or sixth-form algebra lesson!
This comprehensive, no-prep worksheet provides secondary students with targeted practice covering foundational and advanced polynomial operations. Ideal for students sitting the Higher Tier GCSE Maths, AS/A-Level Maths, or equivalent international curriculums, this resource offers a clear, structured layout to build confident algebraic manipulation and division skills.
What Skills Are Covered?
• Finding Polynomials from Factors: Building quadratic functions from given linear binomial factors.
• The Factor Theorem & Remainders: Testing expressions using algebraic division to determine if a binomial is a factor of a larger polynomial.
• Polynomial Long Division: Working out multi-step division equations with and without remainders.
• Highest Common Factor (HCF): Finding the greatest common factors for complex algebraic expressions containing variables x, y, and z.
• Missing Term Analysis: Multi-step fill-in-the-blank problems to test structural understanding and distributive properties.
What is Included in Your Download?
• Student Worksheet Pages: Clean, beautifully formatted pages with clear workspace for student answers.
• Step-by-Step Solutions: Full worked structural math answers detailing the complete long division brackets with remainders to facilitate easy peer or self-assessment.
Perfect Classroom Use Cases:
• Main classroom teaching practice or independent desk work
• Cover lessons, emergency supply work, or filler tasks
• Weekly homework assignments
• GCSE Higher or A-Level math exam preparation and revision sessions
• Intervention and small-group math remediation tasks
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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Factorization (various cases) Bundle
A collection of three worksheets on the following topics: * Polynomial long division and factorization. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factored. * Factoring algebraic expressions for cases where there is a common factor or the method of grouping can be used. * Factoring algebraic expressions involving differences of two squares or differences and sums of two cubes. Detailed solutions are included.
£3.35
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Polynomial long division and factorisation Bundle
A collection of three worksheets on the following: * factorising simple algebraic expressions by taking a common factor * dividing polynomials using long division * polynomial long division and factorisation( The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. ) Detailed solutions are included.
£2.90
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