Polynomials are mathematical expressions that involve a sum of powers in one or more variables. They are used in a wide variety of mathematical applications, such as in algebra, calculus, and geometry.

Definition of Polynomials:
A polynomial is a mathematical expression that consists of variables, constants, and coefficients, combined using arithmetic operations such as addition, subtraction, multiplication, and division. The variables in a polynomial must have non-negative integer exponents.

Examples of Polynomials:
Some examples of polynomials are:
- 2x^3 + 5x^2 - 3x + 7
- 4y^2 - 2y + 1
- x^4 - 2x^2 + 1

Zeros of a Polynomial:
The zeros of a polynomial are the values of the variable that make the polynomial equal to zero. In other words, they are the solutions to the equation formed by setting the polynomial equal to zero.

Importance of Zeros of a Polynomial:
The zeros of a polynomial are important because they provide information about the behavior of the polynomial. For example, the number of distinct zeros of a polynomial gives the degree of the polynomial. Also, the sign of the polynomial changes at each zero, which is useful in determining intervals of increase and decrease.

Methods to find Zeros of a Polynomial:
There are different methods to find the zeros of a polynomial, such as:
- Factoring the polynomial
- Using the quadratic formula
- Using synthetic division
- Using the Rational Root Theorem

Conclusion:
Polynomials are important mathematical expressions that are used in various fields of mathematics. The zeros of a polynomial provide valuable information about the behavior of the polynomial, and there are several methods to find them.

Polynomials are expressions of more than two algebraic terms.