Question

define polynomial of various degree

Answer 1

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.

Answer 2

Monomial:  consisting of one term.
Binomial :   consisting of two terms.
Trinomial:   consisting of three terms
Polynomial :consisting of many terms