| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Session | Specimen |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Generalised Binomial Theorem |
| Type | Factoring out constants first |
| Difficulty | Moderate -0.3 This is a straightforward application of the binomial expansion for negative/fractional powers requiring factoring out the constant first (writing as $2(1- rac{3x}{4})^{-1/2}$), then applying the standard formula. It's slightly easier than average because it's a direct template question with clear instructions, though the arithmetic with fractions requires care. |
| Spec | 1.04c Extend binomial expansion: rational n, |x|<1 |
Use the binomial theorem to expand $( 4 - 3 x ) ^ { - \frac { 1 } { 2 } }$, in ascending powers of $x$, up to and including the term in $x ^ { 3 }$. Give each coefficient as a simplified fraction.
\hfill \mbox{\textit{Edexcel C4 Q1 [5]}}