# How do you find the degree of 2a^2b^5+5-ab?

Feb 1, 2018

7

#### Explanation:

If we consider $a$ and $b$ to be variables, the degree of a polynomial is the degree of the term with highest degree.

The polynomial $2 {a}^{2} {b}^{5} + 5 - a b$ is composed by the factors:

• $2 {a}^{2} {b}^{5}$ has degree $7$ (sum of the power of $a$ and the power of $b$);
• $5$ has degree $z e r o$ (independent term);
• $- a b$ has degree $2$.

By the previous, the degree of the polynomial is $7$.