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
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 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
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