Question

What is the degree of the polynomial?

Answer 1

The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.

Let's check each terms :

$3xy^2z$ has degree of 4 (x is an exponent of 1, y has 2, z is an exponent of 1. So 1+2+1 = 4).

$2z^5$ has a degree of 5 (z has an exponent of 5).

$\frac{2}{3} y^2z^4$ 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