Polynomial Division | A-Level Worksheets

Five graded worksheets on polynomial division and the factor and remainder theorems for A-Level, with full mark schemes. Builds from the factor theorem through to factorising and solving cubics and quartics.

How the series builds:

• The factor theorem — showing a bracket is a factor, finding an unknown, non-unit factors
• The remainder theorem — remainders by substitution, finding an unknown from a given remainder
• Polynomial division — dividing exactly by linear and quadratic divisors, dividends with missing terms
• Division with a remainder — quotient and remainder, and writing the answer as a quotient plus a proper fraction
• Factorising and solving — using a given factor to factorise and solve cubics and quartics

Board-agnostic (AQA, Edexcel, OCR). Answers given in factorised and quotient form, with full mark schemes throughout. Print-and-go PDFs for lessons, homework, starters and revision.