| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Standard binomial expansion coefficient |
| Difficulty | Easy -1.2 Both parts are direct applications of standard techniques with minimal steps. Part (i) requires simple polynomial multiplication and collecting terms. Part (ii) is a routine binomial coefficient calculation using the formula. No problem-solving or insight required—pure mechanical recall for a C1 level question. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem1.04a Binomial expansion: (a+b)^n for positive integer n |
5 (i) Find the coefficient of $x ^ { 3 }$ in the expansion of $\left( x ^ { 2 } - 3 \right) \left( x ^ { 3 } + 7 x + 1 \right)$.\\
(ii) Find the coefficient of $x ^ { 2 }$ in the binomial expansion of $( 1 + 2 x ) ^ { 7 }$.
\hfill \mbox{\textit{OCR MEI C1 2009 Q5 [5]}}