Moderate -0.8 This is a straightforward binomial expansion question requiring students to identify which term has x^0 by setting up the general term and solving a simple equation. It's a standard textbook exercise testing routine application of the binomial theorem with no problem-solving insight required, making it easier than average.
\([^8C_8 \text{ or } 28] \times [16 \text{ or } 4^2](x^6) \times \left[\frac{1}{(64 \text{ or } 2^6)(x^6)}\right]\)
B1B1B1 [4]
Seen in expansion ok. Allow \(^6C_2\); Identified as answer
\(7\)
$[^8C_8 \text{ or } 28] \times [16 \text{ or } 4^2](x^6) \times \left[\frac{1}{(64 \text{ or } 2^6)(x^6)}\right]$ | B1B1B1 [4] | Seen in expansion ok. Allow $^6C_2$; Identified as answer
$7$
3 Find the term independent of $x$ in the expansion of $\left( 4 x ^ { 3 } + \frac { 1 } { 2 x } \right) ^ { 8 }$.
\hfill \mbox{\textit{CAIE P1 2014 Q3 [4]}}