The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.
Let's check each terms :
[tex]3xy^2z[/tex] has degree of 4 (x is an exponent of 1, y has 2, z is an exponent of 1. So 1+2+1 = 4).
[tex]2z^5[/tex] has a degree of 5 (z has an exponent of 5).
[tex] \frac{2}{3} y^2z^4[/tex] has degree 6 ( y has 2 and z has 4. So 2+4=6).
Now that we have checked each terms, we know that the largest degree is 6, so the polynomial has a degree of 6.
In short, your answer be 6.
Hope this helps !
Photon
