"Practical" has a different meaning to everyone. Since numerous applications are based on polynomial models in theory, complex numbers play a part in all of these. For example, in electrical engineering we find complex roots in circuit theory where the polynomial is part of the model equation for simple circuits. In mechanical engineering, the same type of model relates to vibrations with wavelike results connected to the complex root cases. And in physics, it turns out quantum mechanics uses complex numbers for just about everything - the wave functions of particles have a complex amplitude, including a real and "imaginary" part, and both are essential. From the perspective of algebra, complex

Polynomials also are used in Engineering. They are used for approximating or curve fitting experimental data, solving different equations, calculating “beam deflection” for loading trucks, representing the properties of some gasses, defining functions used in Finite Element computation, defining CAD geometry in CAD (Computer Assisted Drawing) engineering and construction parametric curves.

numbers give us a complete system for finding the roots of polynomials. The two really go hand in hand.

Because telephone lines and radio channels have low capacity, they can carry only a limited number of signals unless these signals are coded efficiently. For this purpose, we have developed several signal compression methods, which utilize polynomi

Some topics in this essay:
World” Practical, Assisted Drawing, Polynomials Engineering, Finite Element, , imaginary numbers”, telephone lines, record ecg, electromagnetic field, pair real,