| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2010 |
| Session | January |
| 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 problem 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. It's slightly easier than average because it requires no conceptual insight—just careful algebraic manipulation and arithmetic. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
1 Find the quotient and the remainder when $x ^ { 4 } + 11 x ^ { 3 } + 28 x ^ { 2 } + 3 x + 1$ is divided by $x ^ { 2 } + 5 x + 2$.
\hfill \mbox{\textit{OCR C4 2010 Q1 [4]}}