| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2011 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Single transformation application |
| Difficulty | Moderate -0.8 This is a straightforward algebraic manipulation requiring expansion of the cubic and coefficient matching. While it involves four unknowns, the method is mechanical: expand Q(x+R)³+S, equate coefficients systematically, and solve. No conceptual insight or problem-solving is needed beyond routine algebraic technique. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
1 Find the values of $P , Q , R$ and $S$ in the identity $3 x ^ { 3 } + 18 x ^ { 2 } + P x + 31 \equiv Q ( x + R ) ^ { 3 } + S$.
\hfill \mbox{\textit{OCR MEI FP1 2011 Q1 [5]}}