Answer:
The given expressions is a polynomial. The polynomial is a trinomial and has a degree of 5.
Explanation:
First let's find out what a polynomial is, a polynomial is an expression that represents the sum/subtraction of one or multiple monomials.
A monomial is an expression but with only one term and can consist of many variables multiplied/divided(divided only if the denominator is not a variable) by (ex: 6rq^7).
To determine a specific type of polynomial, we need to know what they all are first.
We already identified what a monomial is, a binomial is similar except another term is being added/subtracted from it, and lastly a trinomial is with three terms all either subtracted/added in different combinations.
To make it easier to remember:
Mono - one, single
Bi - two, double
Tri - three, triple
The degree is the highest exponent of any term of a variable in an expression. For example, if an expression is: 5y^2 + 3xy^4 + 4y^8g^2, the degree of this polynomial is 10 because the term with the most amount of exponents is 4y^8g^2 since one variable has an exponent of 8 and another has an exponent of 2, you add them together and they would have the highest degree of 10 compared to the other terms which are 2 for 5y^2 and 5 for 3xy^4. 10 is greater than 5 and 2 so 10 would be the degree in this expression.
Now, this expression is a polynomial since it has at least one monomial in it. This polynomial also is a trinomial because there are three monomials/terms being added/subtracted to each other. This degree of this polynomial is 5 because 2b^5 has the highest amount of exponents of a variable compared to the others.