Definition of polynomial:
Polynomial refers to the expressions of variables, coefficients and their multiplication (non-negative integer power). More broadly, the sum of 1 or 0 monomials is also a polynomial. According to this definition, polynomials are algebraic expressions. In fact, there is no theorem that is valid only for narrow polynomials but not for monomials.
When 0 is a polynomial, the degree is defined as negative infinity (or 0). Monomial and polynomial are collectively called algebraic expressions.
Polynomial algorithm:
1. Create an array of length n+ 1 to store the coefficients of the polynomial.
2. Enter the coefficients of polynomial of degree n and store them in the array.
3. Enter the highest degree of polynomial, n value.
4. Calculate the degree of polynomial according to the highest degree n value of polynomial.
5. Output the result of polynomial.
Application of polynomial;
1, mathematics field:
Polynomial is a basic concept in mathematics. It is an expression composed of several terms, which can be used to represent functions, solve equations, find roots and so on. Polynomials are not only widely used in algebra, but also can be used to solve some problems in geometry, physics and other fields.
For example, in physics, polynomials can be used to describe the trajectory and acceleration of objects; In computer graphics, polynomials are used to represent curves and surfaces to achieve smooth animation effects.
2. Physical field:
Polynomials have also been widely used in physics. For example, in quantum mechanics, Schrodinger equation is a polynomial that describes the motion of particles. In classical mechanics, polynomials are also used to represent the trajectory of objects.
3. Engineering field:
Polynomials are also widely used in engineering. For example, in computer graphics, polynomials are used to represent curves and surfaces; In electrical engineering, polynomials are used to represent the response of circuits; In mechanical engineering, polynomials are used to express the laws of motion of objects and so on.