Moderate -0.8 This is a straightforward application of the binomial theorem requiring identification of the correct term (r=7), substitution into the formula C(12,7)(3/8)^5(4x)^7, and simplification. It's routine with no conceptual challenges, making it easier than average, though the arithmetic with fractions requires care.
5. Find the coefficient of the term in \(x ^ { 7 }\) of the binomial expansion of
$$\left( \frac { 3 } { 8 } + 4 x \right) ^ { 12 }$$
giving your answer in simplest form.
(3)
\section*{(Total for Question 5 is 3 marks)}
5. Find the coefficient of the term in $x ^ { 7 }$ of the binomial expansion of
$$\left( \frac { 3 } { 8 } + 4 x \right) ^ { 12 }$$
giving your answer in simplest form.\\
(3)
\section*{(Total for Question 5 is 3 marks)}
\hfill \mbox{\textit{SPS SPS SM Pure 2024 Q5 [3]}}