Practise this topic

7 resources
⚙️ Worksheet

Advanced Factorising

ax² quadratics, a common bracket factor, grouping in x and y, cubics by grouping, and the difference of two cubes. Six difficulty levels, timed, click to reveal; in Practice and the class race the answers can be typed, marked…

GCSE and A Level
⚙️ Worksheet

Algebraic Division: Exercise

Find the quotient and the remainder when a polynomial is divided: a cubic by (x + a), subtracting negative terms, a missing term, remainders, dividing by ax + b, a quartic, and dividing by a quadratic. Worked solutions take the…

GCSE and A Level
⚙️ Worksheet

Comparing Coefficients: Exercise

Divide polynomials by comparing coefficients: given an identity such as f(x) ≡ (x + 2)(Ax² + Bx + C) + D, find the letters. The same seven kinds of division as the long division exercise, from a cubic divided by (x + a) to a…

GCSE and A Level
⬢ Blockbusters

Advanced Factorising Blockbusters

Blockbusters with the questions from the Advanced Factorising worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple…

GCSE and A Level
🧮 Tool

Algebraic Division

Starting with the form of the answer (choose the quotient and remainder for nine divisions, from cubic ÷ quadratic to linear ÷ cubic), then dividing a polynomial by a linear, quadratic or cubic expression, by long division or by…

GCSE and A Level
⬢ Blockbusters

Algebraic Division: Exercise Blockbusters

Blockbusters with the questions from the Algebraic Division: Exercise worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…

GCSE and A Level
⬢ Blockbusters

Comparing Coefficients: Exercise Blockbusters

Blockbusters with the questions from the Comparing Coefficients: Exercise worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer…

GCSE and A Level

These are the pages for The factor theorem in the GCSE + AQA Level 2 Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.