| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Algebraic Fraction Multiplication and Division |
| Difficulty | Moderate -0.8 This is a straightforward algebraic fraction multiplication requiring factorization of a quadratic (2x²+7x+6 = (2x+3)(x+2)), cancellation of common factors, and simplification. It's routine manipulation with no problem-solving insight needed, making it easier than average but not trivial due to the multiple steps involved. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
| Answer | Marks | Guidance |
|---|---|---|
| - Working/answer | M1 | for attempting... |
| - Final answer | A1 | cao |
**Question 1:**
- Working/answer | M1 | for attempting...
- Final answer | A1 | cao
Once you provide those pages, I can extract and format all the content as requested.\begin{enumerate}
\item Express
\end{enumerate}
$$\frac { 3 x ^ { 2 } } { \left( 2 x ^ { 2 } + 7 x + 6 \right) } \times \frac { 7 ( 3 + 2 x ) } { 3 x ^ { 5 } }$$
as a single fraction in its simplest form.\\
\hfill \mbox{\textit{Edexcel C3 Q1 [4]}}