| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2008 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Algebraic Fraction Multiplication and Division |
| Difficulty | Moderate -0.3 Part (a) is routine factorization and cancellation of algebraic fractions, a standard C4 skill. Part (b) is straightforward polynomial long division with no complications. Both parts require only direct application of well-practiced techniques with no problem-solving insight needed, making this slightly easier than average. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
1
\begin{enumerate}[label=(\alph*)]
\item Simplify $\frac { \left( 2 x ^ { 2 } - 7 x - 4 \right) ( x + 1 ) } { \left( 3 x ^ { 2 } + x - 2 \right) ( x - 4 ) }$.
\item Find the quotient and remainder when $x ^ { 3 } + 2 x ^ { 2 } - 6 x - 5$ is divided by $x ^ { 2 } + 4 x + 1$.
\end{enumerate}
\hfill \mbox{\textit{OCR C4 2008 Q1 [6]}}