## A single term

**Definition: **a single term is called a finite product of numbers, letters, and their natural degree, and the numbers, letters and their degree.

A single term is zero — the number 0.

**Definition: **the Degree of a single term is the sum of the letters that is included in a single term. If a single term is a number that is not zero, its degree is considered to be zero.

A single term written in standard form if the first multiplier is a number, called the coefficient of a single term.

— a single term in standard form

Such a single term, if they are equal or differ only in their coefficients.

## Operations on monomials

- Addition and subtraction
- Multiplication
- Exponentiation
- Division

## The polynomial

**Definition: **Polynomial — the sum of a finite number of a single term (each of which is a member of the polynomial).

A single term consisting of one member are also considered polynomials.

The number 0 is called the zero polynomial

### Examples of polynomials

— polynomials

— polynomials consisting of one member

**Definition: **the Degree of a nonzero polynomial is the greatest degree of the degrees of its members (a single term).

— the polynomial of the third order (because the highest degree is the third)

Polynomial zero (0) degree has not.

## Actions on polynomials

- Add
- Subtraction
- Multiplication

## Identically equal polynomials

**Definition: **Two polynomials equal if they acquire runic values for all values of the letters.

## The decomposition of a polynomial into factors

- The imposition of a common multiplier of the bracket
- The grouping method
- The use of formulas of reduced multiplication