Factor Theorem and Polynomial Division | AQA L2 Further 8365 | 40 Worked Examples

Forty fully worked questions on the factor theorem and polynomial division for the AQA Level 2 Certificate in Further Mathematics (8365), spec reference 2.11. Every solution is broken down one line at a time, with a plain-English note beside each step and the AQA mark-scheme codes (M1, A1, B1) folded in on the lines that actually earn marks, so students see exactly where the method and accuracy marks come from.

The pack ramps from Easy to Challenging. It covers testing whether a linear expression is a factor (including rational-value factors such as (2x-1) and (3x+1)), fully factorising cubics and quartics by polynomial long division, solving polynomial equations, finding unknown coefficients from a given factor, repeated roots and ‘exactly two solutions’ problems, and giving exact surd solutions via the quadratic formula. Question styles and mark allocations are calibrated directly from real AQA 8365 papers (Paper 1 non-calculator and Paper 2 calculator).

Ideal for high-achieving GCSE students bridging to A-Level Maths. Clean, printable, and ready to use in a lesson, for homework, or for revision.