| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Apply remainder theorem only |
| Difficulty | Moderate -0.8 This is a straightforward application of the remainder theorem requiring substitution of x=3 into the polynomial and solving a simple linear equation. It's a single-step problem testing basic recall of the theorem with minimal algebraic manipulation, making it easier than average but not trivial since students must correctly apply the theorem. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
When $x^3 - kx + 4$ is divided by $x - 3$, the remainder is 1. Use the remainder theorem to find the value of $k$. [3]
\hfill \mbox{\textit{OCR MEI C1 2009 Q3 [3]}}