The new way to solve 200 years old mathematical problems.

"A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems." (ScitechDaily, Researchers Solve “Impossible” Math Problem After 200 Years)

Researchers from Australia solved one of math's toughest problems. Normally we use Norwegian mathematician Niels Henrik Abell's method to solve some complex polynomials. But those things always cause grey hair to mathematicians. 

Things like artificial intelligence are tools. That can be used to solve many problems. Things like third or higher-degree polynomials are problematic for computers and humans because those formulas are very complicated.

So, when we try to solve things like third or higher-class polynomial formulas we must realize that at least in some cases. 

When we try to solve things like fourth-degree polynomials, we must understand that this polynomial function includes two second-class polynomial functions, or we can divide that thing into one-third and one first-class polynomial function. In the same way, all polynomials involve an X-number of the second-class polynomes. And if the polynomial is uneven like a third or fifth-class polynomial it also involves one first-class polynomial. 

So: 

f(x) ax^4+bx^3+cx^2+dx+e

is 

(x^2+bx+c)*(x^2+bx+c)

or

(X^3+bx^2+cx+d)*(x+d)

Higher-degree polynomials are always the combinations of the first and second-class polynomials. The fifth class of polynomials involves two second-class, or second-degree polynomials and one first-class polynomial. 

So 

f(x) ax^5+bx^4+cx^3+dx^2+ex+f

involves 

(x^2+bx+c)*(x^2+bx+c)(x+c)

Two-second degrees and one first-degree polynomial. 

The sixth-degree polynomials involve three second-degree polynomials

f(x) ax^6+bx^5+cx^4+dx3+ex^2+fx+g

Can be divided into three second-class polynomials. 

(x^2+bx+c)*(x^2+bx+c)*(x^2+bx+c)

The seventh-degree polynomials involve 

Three second and one first-class polynomials. 

Etc...

https://scitechdaily.com/researchers-solve-impossible-math-problem-after-200-years/