Exam Questions & Step-by-Step Markschemes (3 Problems)
Question 1 • 2024
4 Marks
Find the term independent of x in the expansion of: \left( \frac{3x^2}{2} - \frac{1}{3x} \right)^9
Answer: T_7 = \frac{7}{18}
Question 2 • 2024
4 Marks
Find the term independent of x in the binomial expansion of: \left( \frac{3}{2}x^2 - \frac{1}{3x} \right)^9, \quad x \neq 0
Answer: T_7 = \frac{7}{18}
Question 3 • 2023
4 Marks
Find the term independent of x in the binomial expansion of: \left( \sqrt{x} - \frac{3}{x^2} \right)^{10}, \quad x \ne 0
Answer: T_3 = 405