| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Single remainder condition to find constant |
| Difficulty | Easy -1.2 This is a straightforward application of the Remainder Theorem requiring only substitution of x=1 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. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
When $x^3 + 3x + k$ is divided by $x - 1$, the remainder is 6. Find the value of $k$. [3]
\hfill \mbox{\textit{OCR MEI C1 2006 Q6 [3]}}