A mathematical expression contains constants, variables and non-negative integer exponents, that can be combined by using the basic mathematical expressions like addition, subtraction and multiplication but not division by a variable is called polynomial. In Greek, “Poly” means ‘many’ and in Latin “nomial” means ‘terms’. Thus, it is defined as an expression with many terms.

Note that, a term includes one or more variables raised to the non-negative
integer power and multiplied by a constant co-efficient. The term includes
only a constant is called constant term. Moreover, it is not possible to
have infinite number of terms in a polynomial.

**Polynomial function:**

If there is only one variable involved in a polynomial, then it is named as
a polynomial function. The general form of a polynomial function is as
follows:

Where

Note that,

1. Consider 2

2. Consider –4

3. Consider

. Here, the number of terms is 3. Variables are

4. Consider

. Here, the number of terms is 3. Variables are

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