June 2025 Paper 2 Q2
2 Determine the coefficient of \(x^3\) in the expansion of \((1+2x)^{12}\). [2]
| Scheme | Marks | AO |
|---|---|---|
| \({}_{12}\mathrm{C}_3\) or \({}_{12}\mathrm{C}_9\) or 220 or \(\dfrac{12!}{3!9!}\) oe seen | M1 | 2.1 |
| 1760 | A1 | 1.1 |
| [2] |
Notes
M1: may be embedded eg \({}_{12}\mathrm{C}_3\,(2x)^3\);
A1: if M0 allow SCB1 for 1760 seen; A0 for final answer of \(1760x^3\)