# What is the degree of 3x^4y^2 - 5x^2y + 3?

Jun 26, 2015

It is degree $6$.

#### Explanation:

The degree of a term (a monomial) is the sum of the exponents on the variables. The degree of a polynomial is equal to the degree of the term of the highest degree term with non-zero coefficient.

The degree of $3 {x}^{4} {y}^{2}$ is $6$, because $4 + 2 = 6$

The degree of $- 5 {x}^{2} y$ is $3$, because $2 + 1 = 3$

The degree of $3$ is $0$, because no variable to a positive power appears.

The degree of $3 {x}^{4} {y}^{2} - 5 {x}^{2} y + 3$ is the greatest of those degree, so it is $6$.

Jun 28, 2015

The degree is 6 and it is on the first term $3 x 4 y 2$.

#### Explanation:

You must use exponential rules. When multiplying, sum the exponents. 4 + 2 = 6.