Polynomial expressions contain indeterminants and coefficients and can consist of additions, subtractions, multiplications, and other non-negative integer exponentiations of variables.
Example: x2 + y2 = 2.
Degree of polynomial
The polynomial degree represents the highest power of a variable in a polynomial equation. It signifies how large the polynomial's exponential power is.
Types of polynomials
Depending on the polynomial degree and the number of terms in the polynomial, there are distinct types of polynomials.
- Monomials: Containing one non-zero term, which is called the Monomials.
- Linear polynomial: As long as the polynomial has degree 1, it can be defined as a linear polynomial. In such a polynomial, there are at most two terms.
- Quadratic polynomial: There can be three terms at most in a quadratic polynomial. Polynomials with degree 2 are quadratic polynomials.
- Cubic polynomial: When a polynomial has a degree of 3, it is called a cubic polynomial. Cubic polynomials have four terms or less.
- Biquadratic polynomial: The degree 4 polynomial can be defined as a biquadratic polynomial. This polynomial can have a maximum of 5 terms.
- Constant polynomial: The degree of this type of polynomial is 0.
- Zero polynomial: Polynomials with zero coefficients are not defined, but their degree is zero.