| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2009 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Polynomial Division by Quadratic Divisor |
| Difficulty | Moderate -0.3 This is a straightforward polynomial long division question requiring systematic application of the division algorithm. While it involves a quartic divided by a quadratic (requiring multiple steps), the technique is mechanical and well-practiced in C4. The coefficients are manageable and there's no conceptual challenge beyond executing the standard procedure correctly. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
1 Find the quotient and the remainder when $3 x ^ { 4 } - x ^ { 3 } - 3 x ^ { 2 } - 14 x - 8$ is divided by $x ^ { 2 } + x + 2$.
\hfill \mbox{\textit{OCR C4 2009 Q1 [4]}}