Monomials have 1 term. Binomials have 2 terms. Trinomials have 3 terms. Polynomials with more than 3 terms are usually just identified by their degree. The variables should have non-negative integer exponents.
2x{\displaystyle 2x} is a monomial. 7{\displaystyle 7} is also a monomial, since it can be written as 7x0{\displaystyle 7x^{0}} 3x+1{\displaystyle 3x+1} is a binomial. x5+2x2+x{\displaystyle x^{5}+2x^{2}+x} is a trinomial.
The standard form is when a polynomial’s terms are arranged in descending order of exponent size. For factoring info, check out our guide on factoring a cubic polynomial.
2x{\displaystyle 2x} is a 1st degree polynomial. 7{\displaystyle 7} is a zeroth degree polynomial, since it can be written as 7x0{\displaystyle 7x^{0}}. 3x+1{\displaystyle 3x+1} is a 1st degree polynomial. x5+2x2+x{\displaystyle x^{5}+2x^{2}+x} is a 5th degree polynomial.
