Question

Classify each polynomial below by its number of terms and its degree. Select all choices that apply foreach polynomial. (1 point each)1. mna + mn2 + 16The degree of the polynomial is 5The degree of the polynomial is 6The degree of the polynomial is 7The polynomial is a monomialThe polynomial is a binomial- The polynomial is a trinomial I

Answer 1

$\begin{gathered} \text{Given} \\ m^5n^2+mn^2+n^6 \end{gathered}$

Degree of the polynomial.

The degree of the polynomial is the largest sum of the exponents of ALL variables in a term.

$\begin{gathered} m^5n^2\rightarrow\text{ Degree of }7\text{ (5+2)} \\ mn^2\rightarrow\text{Degree of }3\text{ (1+2)} \\ n^6\rightarrow\text{Degree of 6} \end{gathered}$

The given polynomial has a degree of 7.

Identification of polynomial.

The given polynomial has a total of 3 terms, therefore, this polynomial is a trinomial.

Conclusion.

The given polynomial is a trinomial with a degree of 7.