Question

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

Answer 1

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^6yz` is `6+1+1=8`

The degree of `x^8y^2` is `8+2 = 10`

The degree of `3x^5y^2z^3 = 3+5+2 = 10`

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