A polynomial is a monomial or the sum of monomials. The degree of a polynomial is the degree of the monomial with the greatest degree.
Is the Expression a Polynomial? Yes. Degree of the Polynomial: 5 Type of Polynomial: binomial
Practice makes perfect
To determine whether the given expression is a polynomial, recall that a polynomial is a monomial or the sum of monomials.
A monomial is either a number, a variable, or an expression that is the product of one or more variables with non-negative integer exponents.
Consider the given expression.
5m^2p^3+6
This expression is a polynomial because each term is a monomial. The degree of a polynomial is the degree of the monomial with the greatest degree. For our polynomial, the degree is 2+3=5. Also, it is a sum of two monomials, so it is a binomial.
