| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | 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 = -1/2 into the polynomial. It's a standard C2 technique with minimal steps and no problem-solving required, making it easier than average but not trivial due to the arithmetic with fractions. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
Find the remainder when $f(x) = 4x^3 + 3x^2 - 2x - 6$ is divided by $(2x + 1)$. [3]
\hfill \mbox{\textit{Edexcel C2 Q1 [3]}}