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cubic function, different ways of solving it?

So for my Extended essay, I might wanna do something about different ways of solving cubic function. I decided to demonstrate the general formula method, the cardano's method and the trigonometric and hyperbolic method for cubic polynomial. I will then compare different approach and evaluate them ( their pros and cons. ) However, it is not sparkling and unique enough to get an A.

Therefore, I might have to add something to my essays. Here are some ideas.

1, Imaginary coefficient of cubic polynomial.
2, use of newton's method. ( can it approximate complex polynomial as well ? )
3, Application of cubic polynomial in real life ( Practical Purposes )

which one do you think is good ?
After all of these, would my essay be intact ? Is it a good topic. ? I am now petrified.

And my research question would be ( An exploration on cubic function: Different means of solving it and its piratical purpose )

Is it OK? Too board ??

Thank you for reading :smile:
Hello, Im a student currently doing the EE on math and I literally picked the same exact topic as you. Can you tell me how it went and what did u get and overall how was it?