# How do you find the degree of the polynomial 3x^2+8x^3-9x-8?

Oct 24, 2015

$3 {x}^{2} + 8 {x}^{3} - 9 x - 8$ is of degree $3$

#### Explanation:

The degree of a polynomial is the largest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables in that term,

Terms:
$3 {x}^{2}$ is of degree $2$
$8 {x}^{3}$ is of degree $3$
$9 x$ is of degree $1$
$8$ is of degree $0$

Polynomial:
The largest degree of any term is $3$
$\Rightarrow$ the degree of the polynomial is $3$