# How do you find the degree of 13-4ab+5a^3b?

May 24, 2017

It's degree is 4.

#### Explanation:

For a polynomial with two variables.
Degree is defined as collective highest power of both variables.

In term $13$ degree is $0$.
,and in term $- 4 a b$ degree is $2$ as $1$ degree of $a$ and $1$ of $b$.
,and finally the degree in term $5 {a}^{3} b$ is $3 + 1 = 4$.
Hence the degree of polynomial $5 {a}^{3} b - 4 a b + 13$ is 4
and its leading co-efficient is 5.