What Is A Polynomial ?

The subject of polynomials is one of the major topics in mathematics. In order for the math foundation to sit well, the subject of the polynomial must be well learned by students. What is a polynomial? What are the conditions and properties of being a polynomial? Here, details.

The subject of polynomials may sometimes not be understood by students. But learning about this subject is very important in terms of achieving success in the exams that will be entered in the future. For this reason, it is necessary to learn this topic well by students.

What Is A Polynomial?

Polynomial is one of the subjects of mathematics. Equations consisting of a fixed number with an independent variable of a certain number are expressed as polynomials. In a polynomial, operations such as addition, multiplication, subtraction, and taking the base of positive numbers can be used.

For example, the expression x2-5x+10 can be expressed as a quadratic polynomial. Another example is that the expression x2-10/x+5x3/2 does not express a polynomial. The reason for this is that polynomial degrees must be a natural number, not a fractional one. In addition, since x is used in the division process in the second expression, the degree of X becomes negative. In the third term, there is a degree that is not in the natural number position. For this reason, this expression is not a polynomial.

The concept of polynomials is often used in mathematical science. Polynomials are used in problem solutions in many fields such as chemistry, physics, economics. In addition, polynomials are used in addition or numerical analysis. Polynomials are also used in advanced mathematical operations. With polynomials, polynomial rings can be created.

What are the conditions and properties of polynomial

Polynomials have the property of combining aggregations.

In order to determine the coefficients of polynomials, it is necessary to give the number 1 to the variables of the polynomial.

In order to find the sum of the terms of the product of two polynomials, it is necessary to use the law of distribution. This means that the terms of two polynomials are multiplied by each other respectively.

In polynomials, evaluation is used to calculate the remainder of the parts of polynomials of the first degree.

The combination functions of two different polynomials express a polynomial.