Question

The degree of the polynomial $2-8x^{0}y{z}^3+xy+4xyz$ is ___

Answer 1

The terms of the given polynomial are $2$, $8x^{0}y{z}^3$, $xy$ and $4xyz$.

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

The sum of the powers of the variables in $8x^{0}y{z}^3$ is 4.

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

The sum of the powers of the variables in $4xyz$ is 3.

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