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What is a polynomial and what is a monomial?
An algebraic expression consisting of the sum of several monomials is called a polynomial; An algebraic expression consisting of the product of numbers or letters is called a monomial.

A monomial is a formula that only contains multiplication, in which there can only be one letter or number, such as 2a, 3xy, 4b, etc. The degree of a monomial refers to the number of letters or numbers it contains, for example, the degree of 2a is 2, and the degree of 3xy is 2.

Polynomial is an algebraic expression composed of the sum of several monomials, and each monomial is a part of polynomial. For example, 2x 2+3x+4 is a quadratic polynomial which contains three monomials: 2x2, 3x and 4. The coefficients and exponents of each term are part of a polynomial, and they are isomorphic to polynomial expressions.

The degree of a polynomial refers to the highest degree of a single term it contains. For example, the degree of 2x 2+3x+4 is 2 because it contains the highest degree of the monomial 2x2. In mathematics, monomials and polynomials are widely used. In mathematics, monomials can be used to represent constants, variables and functions. For example, the formula of circular area s = π r 2 is a monomial.

Advantages of learning mathematics

People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.

It is used everywhere in life. Nowadays, the society is an information society, and mathematical knowledge is used in financial management and computers. Mathematics can cultivate people's integrity and honesty. Mathematics pays the most attention to convincing people by reasoning, and only believes in the results of logical reasoning. Mathematics can cultivate people's tenacity and courage. Mathematics can cultivate people's overall consciousness. Mathematics can cultivate people's good character.