(i)[2]
Write down the first $3$ terms, arranged in ascending powers of $x$, in the expansion of $(1 + x)^5$.
(context)
In the expansion of $(1 + (px + x^2))^5$, the coefficient of $x^2$ is $95$.
(ii)[3]
Use the result from part (i) to determine the positive constant $p$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “By binomial expansion, $(1+x)^5 = 1 + 5x + 10x^2$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI