In the expansion of \(\left( \sqrt{x} + k \right)^{12}\) where&nbsp;\(k \in \mathbb{Z}\), the coefficient of the term in \(x^{\frac{3}{2}}\) is \(-112640\) Find the value of \(k\).[5]

In the expansion of \(\left( \sqrt{x} + k \right)^{12}\) where \(k \in \mathbb{Z}\), the coefficient of the term in \(x^{\frac{3}{2}}\) is \(-112640\)
Find the value of \(k\).

Binomial Theorem

International Baccalaureate Mathematics: Analysis and Approaches Standard Level

2025 Nov TZ1 P2 Q4

2025 Nov TZ1 P2 Q4