CLASS-6
ALGEBRA-TERMS OF POLYNOMIAL

TERMS OF POLYNOMIAL -

In algebra, a term of a polynomial is a basic component of the polynomial expression. Each term consists of variables, constants, and exponents, and they are combined using multiplication or division. Terms are separated by addition or subtraction operators in the polynomial expression. Here are the key elements that make up a term of a polynomial:

1. Variables:- Variables are symbols, often represented by letters (e.g., x, y, z), that stand for unknown or varying quantities. Variables in a term can be raised to non-negative integer exponents.
2. Exponents:- Exponents indicate the power to which a variable is raised within a term. Exponents are non-negative integers, including 0.
3. Constants:- Constants are fixed numerical values that do not contain variables or exponents. They are standalone numbers.
4. Coefficients:- Coefficients are the numerical factors that multiply the variables and their exponents within each term. Coefficients can also be constants.
5. Variables with Exponents:- In a term, variables can appear with exponents to represent powers. For example, in the term "3x², "x" is the variable raised to the second power, and "3" is the coefficient.

Examples of Terms in Polynomials:-

1. Constant Term:- "5" is a term consisting of a constant only. It does not contain any variables or exponents.
2. Linear Term:- "2x" is a term consisting of the variable "x" raised to the first power and a coefficient of "2."
3. Quadratic Term:- "3y² " is a term consisting of the variable "y" raised to the second power and a coefficient of "3."
4. Mixed Term:- "4xy" is a term consisting of two variables, "x" and "y," both raised to the first power, and a coefficient of "4."
5. Variable Raised to Zero:- "1" is a term that may appear to have no variables, but it can also be considered a variable raised to the power of 0 (any variable raised to 0 is equal to 1).

Terms in a polynomial can be combined with other terms using addition or subtraction operators to create more complex expressions. These expressions can be used to model mathematical relationships and solve various types of problems in algebra and mathematics.