Factor Theorem & Polynomial Division | OCR FSMQ 6993 | 40 Worked Examples

40 fully worked examples on the factor theorem and polynomial division for the OCR Level 3 FSMQ: Additional Mathematics (6993) qualification. Every solution is broken down one line at a time, annotated with the real OCR mark scheme codes (M1, A1, B1, and dependent marks), and graded across three difficulty bands (Easy, Standard, Challenging). Covers spec statements AL3 (polynomial addition, subtraction, multiplication and division) and AL4 (finding linear factors using the factor theorem): evaluating f(a), testing and confirming factors, polynomial long division with quotient and remainder, the remainder theorem, factorising and solving cubics, finding unknown coefficients from a given factor or remainder, quartics, repeated factors, exact surd roots via the quadratic formula, and a modelling question. Questions carrying the OCR ‘In this question you must show detailed reasoning’ (DR) instruction are flagged and worked in full analytical form. Ideal for strong Year 11 and Year 12 students bridging into AS and A-Level Maths. Answers included.