The degree of the monomial is equal to the sum of the exponents of each letter. Here, the exponent of X and the exponent of Y are both 1, and the sum is 2, so xy is a quadratic monomial, that is, a quadratic term.

1 x 2xy is a cubic trinomial. In mathematics, algebraic expressions formed by adding several monomials are called polynomials. Each monomial in a polynomial is called a polynomial term, and the highest degree of these monomials is the degree of this polynomial. Items without letters in polynomials are called constant terms.

brief introduction

Mathematically, polynomial refers to the expressions of variables, coefficients and their addition, subtraction and multiplication (non-negative integer power).

More broadly, the sum of 1 or 0 monomials is also a polynomial. According to this definition, polynomials are algebraic expressions. In fact, there is no theorem that is valid only for narrow polynomials but not for monomials. When 0 is a polynomial, the degree is defined as negative infinity (or 0). Monomial and polynomial are collectively called algebraic expressions.