The function provided is:

$G(x) = x^4 + 2x^3 - 3x^2 - 4x$

Would you like to perform a specific operation on this function, such as finding the derivative, analyzing critical points, or something else?

Let me know if you'd like further details or explanations!

Here are five related questions:

1. What is the first derivative $G'(x)$ of this function?
2. Can you find the critical points of $G(x)$?
3. What does the second derivative $G''(x)$ tell us about concavity?
4. How would you find the points of inflection for $G(x)$?
5. Can you graph this polynomial to analyze its behavior?

Tip: To find critical points, take the first derivative and solve for where it equals zero.