# How do you find degree in a polynomial x^6yz - x^8 y^2 -3x^5y^2 z^3?

Jan 4, 2016

Find the maximum degree of any term is $10$ so the degree of the multivariate polynomial is $10$.

#### Explanation:

The degree of each term is the sum of the exponents of the variables.

So the degree of ${x}^{6} y z$ is $6 + 1 + 1 = 8$

The degree of ${x}^{8} {y}^{2}$ is $8 + 2 = 10$

The degree of $3 {x}^{5} {y}^{2} {z}^{3} = 3 + 5 + 2 = 10$

So the maximum degree is $10$ and the degree of the multivariate polynomial is $10$.