Mathematics: BINOMIAL THEOREM Topical Past Paper Questions

Consider the expansion of $ \left(3x^{2}-\frac{k}{x}\right)^{9} $, where k>0. The coefficient of the term in $ x^{6} $ is 6048. Find the value of k

[Maximum mark: 6] Consider the expansion of $(2 + x)^n$, where $n \geq 3$ and $n \in \mathbb{Z}$. The coefficient of $ x^{3} $ is four times the coefficient of $ x^{2} $. Find the value of n.

[Maximum mark: 7] Consider the expansion of $ \left(2x^{4}+\frac{x^{2}}{k}\right)^{12} $, $ k\neq0 $. The coefficient of the term in $ x^{40} $ is five times the coefficient of the term in $ x^{38} $. Find k.