| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2013 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Polynomial identity or expansion |
| Difficulty | Easy -1.2 This is a straightforward polynomial identity question requiring expansion of the right-hand side and coefficient matching. While it involves algebraic manipulation across multiple terms, it's a routine technique with no conceptual difficulty—students simply expand, collect like terms, and equate coefficients. The method is mechanical and commonly practiced in FP1. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
1 Find the values of $A , B , C$ and $D$ in the identity $2 x \left( x ^ { 2 } - 5 \right) \equiv ( x - 2 ) \left( A x ^ { 2 } + B x + C \right) + D$.
\hfill \mbox{\textit{OCR MEI FP1 2013 Q1 [5]}}