Day 2: Finding 3 roots of polynomial function with 4 terms

[vagrant summit]

It requires me to get 3 roots of the polynomial function but there is no roots in rational root theorem. I need 3 or any possible roots

[rare quiver]

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[vagrant summit]

If anyone reads this, is it possible to get 3 roots using 'Newton's raphson method'?

A classmate of mine used this kind of method to get the 3 roots of the function, is it right or possible?

The methods I tried is

• Rational Root theorem
• Factoring and grouping polynomials with 4 terms
• Long division method
• Synthetic division method
• Complex Method
• Cardano's Method (I don't get it)
• Factorising Cubic equation

[minor bane]

What's that method?

[vagrant summit]

A way to quickly find a good approximation for the root of a real-valued function (f(x) = 0).

According to its definition. A classmate of mine got 3 roots which I don't know if its right

[modern mantle]

ix.

[minor bane]

Are you talking about Newton's method of approximation?

[vagrant summit]

Yeah, probably that. I don't know that so I could be wrong anytime

[minor bane]

That's a method of, y'know, approximation, not solving.

[vagrant summit]

So he's wrong?

[minor bane]

How should I know for sure? I can't see his work.

[vagrant summit]

I have a picture but let me get it

[minor bane]

I'm really not that interested in evaluating some random third party's work.

I'm here to help you understand this problem.

And the first thing to understand is that you don't just try random nonsense, that's not how math works.

[vagrant summit]

Then what can I do? If there's a way to solve this problem and get the roots, I want to know and learn it

What do I need to do? Where did I go wrong?

[minor bane]

...where you went wrong was in trying a bunch of random nonsense without actually understanding it.

A lot of the so-called "methods" you listed are the same thing.

[vagrant summit]

Then should I retrace my steps and understand them?

[minor bane]

I don't see how "retracing your steps" would help.

[vagrant summit]

Then what should I do?

[minor bane]

...it's not about "what you should do", it's about how you should think.

[vagrant summit]

I've been trying to think for hours now and I got the feeling I'm far from the answer where it could be "obvious." Or I just have a thick skull and won't really get it.

[minor bane]

Okay, rule number one, don't think for hours. Take breaks.

[vagrant summit]

You are right. But for me, its frustrating that I don't get it

[minor bane]

Look, I'll be honest, it's 3 AM where I am. I'll explain things tomorrow, and you can use the opportunity to take a break, right?

[vagrant summit]

I know, alright. Thanks man! Hope you get a nice rest for today wherever you are

[chrome kayak]

@vagrant summit has given 1 rep to @minor bane

[bitter cairn]

@vagrant summit

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[vivid grove]

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