Where how and when to use polynomials?

Hi all. Learning now in 7th grade, had very like programming, reading all sorts of books, I still probably time for themselves learned the lesson that math is needed. The only problem is that the knowledge that I don't understand how to apply me hard. Now we pass the monomials and polynomials. Well, I understand how to solve them, that's just what they need I do not understand. Yes, it's just 7th grade, but still. One of the options, they need to be the next step in the solution of complex problems of the future classes, but the polynomials can be used in programming?
June 10th 19 at 14:24
4 answers
June 10th 19 at 14:26
I'm not sure I understand what it means to "solve polynomials" (to simplify them, or what?). However:
Imagine that you need a smooth curve to connect some points. Why? For the beauty to it is not broken ) That point in the format (x,y): (0,0),(1,1),(2,0),(3,1), here is the solution. This is one of an infinite number of solutions, among others it stands out because it is the minimum degree polynomial satisfying the condition. This is a very well - to multiply and stack the processor will be much faster than calculating, say, the sinuses, and therefore can very quickly calculate the height of the point on the curve for any X.
June 10th 19 at 14:28
You would have asked why you need the numbers or the subtraction (because it is the same addition). For example, you need to add a lot of different variables multiplied together in varying degrees. Stupidly, you can manually write the appropriate code, and you can just use the formula of the polynomial.
June 10th 19 at 14:30
For example, the polynomials (polynomials) are used for the polynomial hash, and they can be quickly multiplied by using fast Fourier transform.
So if your data is representable in the form of polynomials, you can quickly multiply, which is very useful.
June 10th 19 at 14:32
If you wonder how fast computers consider functions (sine, logarithm...), it is possible that this approximation by Chebyshev polynomials.

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