degree of a monomial

The degree of a monomial is the power to which the variable is raised. For example, the monomial 5y2 has a degree of 2. If the monomial contains several variables then the degree of the monomial is the sum of the degree of all the variables. For example, the monomial 7x2y3 has a degree of 5.

degree of a polynomial

The highest exponent or sum of exponents of a term in a polynomial. For example, 7x2y3 + 3x2y 8 is a 5th degree polynomial because the highest sum of exponents in a term is 2 + 3 = 5.

like terms

Terms that contain the same variables raised to the same powers. For example, 3x and −8x are like terms, as are 8xy2 and 0.5xy2.

monomial

A polynomial with exactly one term. 4x, −5y2, and 6 are all examples of monomials.

polynomialA monomial or the sum or difference of two or more monomials.
term

A number or product of a number and variables raised to powers.  4x, −5y2, 6, and x3y4 are all examples of terms.

trinomial

A polynomial with exactly three terms, such as 5y2 – 4y + 4 and x2 + 2xy +y2.