| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Generalised Binomial Theorem |
| Type | Multiply by polynomial |
| Difficulty | Standard +0.3 This is a straightforward application of the binomial expansion for negative powers followed by polynomial multiplication. Part (a) is routine recall of the formula with simple arithmetic, and part (b) requires only basic algebraic manipulation (multiplying the expansion by x+4). The question involves standard C4 content with no novel insight required, making it slightly easier than average. |
| Spec | 4.08b Standard Maclaurin series: e^x, sin, cos, ln(1+x), (1+x)^n |
I don't see any extracted mark scheme content to clean up in your message. You've provided the header "Question 3: 3" but no actual marking points or guidance notes.
Please paste the mark scheme content you'd like me to clean up, and I'll convert the unicode symbols to LaTeX notation and format it according to your specifications.3. (a) Expand $( 1 + 3 x ) ^ { - 2 } , | x | < \frac { 1 } { 3 }$, in ascending powers of $x$ up to and including the term in $x ^ { 3 }$, simplifying each term.\\
(b) Hence, or otherwise, find the first three terms in the expansion of $\frac { x + 4 } { ( 1 + 3 x ) ^ { 2 } }$ as a series in ascending powers of $x$.\\
\hfill \mbox{\textit{Edexcel C4 Q3 [8]}}