Chapter 4.2, Problem 10ES

To determine

Write the degree for each of the following polynomial given below.

The degree for $8x^2{y}^2$ expression is $4$.

Given:

The given expression is, $8x^2{y}^2$.

Calculation:

Given: $8x^2{y}^2$

We know that the largest exponent of the variable is the degree of the polynomial.

For the given expression $8x^2{y}^2$ ,

  $x$ has an exponent of $2$ and $y$ also has an exponent of $2$.

Highest exponent of the polynomial $=2+2=4$

Hence the degree of the polynomial is, $4$.