| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2008 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Polynomial Identity Matching |
| Difficulty | Moderate -0.8 This is a straightforward polynomial identity problem requiring coefficient matching. Students expand the right-hand side, collect like terms, and equate coefficients—a mechanical process with no conceptual difficulty. While it's FP1, this particular question is routine algebraic manipulation below average A-level difficulty. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
4 Find the values of $A , B , C$ and $D$ in the identity $3 x ^ { 3 } - x ^ { 2 } + 2 \equiv A ( x - 1 ) ^ { 3 } + \left( x ^ { 3 } + B x ^ { 2 } + C x + D \right)$.
\hfill \mbox{\textit{OCR MEI FP1 2008 Q4 [5]}}