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

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Answer 1 · 2016-01-04T01:09:30

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

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

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

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

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

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

How do you find degree in a polynomial x^6yz - x^8 y^2 -3x^5y^2 z^3x6yz−x8y2−3x5y2z3x^6yz - x^8 y^2 -3x^5y^2 z^3?