| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Solving quadratics and applications |
| Type | Algebraic identity, find constants |
| Difficulty | Moderate -0.8 This is a straightforward algebraic identity problem requiring expansion and coefficient comparison. While it involves three unknowns, the method is mechanical (expand the right side, equate coefficients of x², x, and constants) with no conceptual difficulty or problem-solving insight needed. It's easier than average despite being FP1 because it's purely procedural algebra. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
2 Find the values of $A , B$ and $C$ in the identity $2 x ^ { 2 } - 13 x + 25 \equiv A ( x - 3 ) ^ { 2 } - B ( x - 2 ) + C$.
\hfill \mbox{\textit{OCR MEI FP1 2009 Q2 [4]}}