# How do I find the degree of these polynomials 4x^2 + 12xyz?

Sep 26, 2015

The degree is $2.$

#### Explanation:

The highest exponent in a polynomial is the degree of the polynomial, so in this case:

$4 {x}^{2} + 12 x y z$ , since the highest exponent is $2$ then the degree of the polynomial is $2.$

Sep 26, 2015

When a polynomial has more than one variable , we need to look at each term.

#### Explanation:

The degree for the first term is 2, but the degree of the second term is the sum of the exponents for each variable:

x: degree 1
y: degree 1
z: degree 1

sum of x,y and z degrees = 3

So, the degree of this polynomial is 3

Hope that helped