| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Polynomial Identity Matching |
| Difficulty | Moderate -0.5 This is a straightforward polynomial expansion and coefficient matching problem. Students multiply out the left side, collect like terms, and equate coefficients with the right side to find three unknowns. It requires careful algebraic manipulation but no problem-solving insight—slightly easier than average for C1. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
\begin{enumerate}
\item Given that
\end{enumerate}
$$\left( x ^ { 2 } + 2 x - 3 \right) \left( 2 x ^ { 2 } + k x + 7 \right) \equiv 2 x ^ { 4 } + A x ^ { 3 } + A x ^ { 2 } + B x - 21 ,$$
find the values of the constants $k , A$ and $B$.\\
\hfill \mbox{\textit{OCR C1 Q5 [7]}}