Question

For K∈R, let 𝑓(𝑥)=𝑥4+2𝑥3+𝑘𝑥2−𝑘, X∈R. If 𝑥=$\frac{3}{2}$ is a point of local minima of 𝑓 and 𝑚 is the global minimum value of 𝑓 then 𝑓(0) − 𝑚 is equal to _______ (in integer).

Answer 1

The correct answer is: 54