| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Find n and constants from given terms |
| Difficulty | Moderate -0.3 This is a straightforward binomial expansion question requiring students to apply the binomial theorem formula to match coefficients. While it involves two unknowns and requires careful algebraic manipulation, it's a standard C2 exercise with clear methodology—expand using (n choose r), equate coefficients, and solve. The 7 marks reflect the working required rather than conceptual difficulty. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n |
The expansion of $(2 - px)^6$ in ascending powers of $x$, as far as the term in $x^2$, is
$$64 + Ax + 135x^2.$$
Given that $p > 0$, find the value of $p$ and the value of $A$. [7]
\hfill \mbox{\textit{Edexcel C2 Q2 [7]}}