Question

The degree of the polynomial $x{z}^8+3x{y}^2{z}^5+2$ is ___.

Answer 1

We see that the given polynomial is a polynomial in three variables($x,y$ and $z$). The terms here are $x{z}^8$, $3x{y}^2{z}^5$ and $2$.

The sum of powers of the variables in $x{z}^8$ is 1+8=9.

The sum of powers of the variables in $3x{y}^2{z}^5$ is 1+2+5=8.

The sum of powers of the variables in $2$ is 0.

9, being the greatest of these sums, is the degree of the given polynomial.