# How do you find the degree of the polynomial 8x^3y^2-10xy+4x^2y^2+3?

Oct 22, 2016

The degree of this polynomial is $5$.

#### Explanation:

The degree of a polynomial is equal to the highest degree of any individual term within the polynomial. The degree of a term is found by adding together the exponents of the variable's within the term.

$8 {x}^{3} {y}^{2}$ has a degree of $3 + 2 = 5$.

$- 10 x y$ has a degree of $1 + 1 = 2$.

$4 {x}^{2} {y}^{2}$ has a degree of $2 + 2 = 4$.

$3$ has a degree of $0$, because it has no variable component.

The highest degree of any individual term within this polynomial is $5$, so the degree of the polynomial is also $5$.