Find a degree: a) $2 x^{4} - 3 x^{2} y^{2} z + 5 x y z - z^{3}$
b) $3 y^{2} - 10 y^{4} + 2$

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Solution

The degree of a polynomial is the largest degree of any of its terms.The same is true for multivariable polynomials.
Degree of $2 x^{4} - 3 x^{2} y^{2} z + 5 x y z - z^{3}$ is the degree of the term $3 x^{2} y^{2} z$ which is $2 + 2 + 1 = 5$
Similarly, degree of $3 y^{2} - 10 y^{4} + z$ is the degree of the term $10 y^{4}$ which is $^{'} 4^{'}$ .

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