E-GT03 · A constant coefficient leaves a sign choice
Consider \(\displaystyle (x^2+\frac{k}{x})^9\), where \(x\ne0\) and k is a nonzero real constant.
Write the general term in binomial order.
The constant term is 5376. Find all possible k.
The coefficient of \(x^3\) is negative. Select k and find that coefficient.
Complete-answer checking, worked solutions and indicative written criteria.
Open the complete answer form