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

2 Answers
Sep 26, 2015

The degree is #2.#


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

#4x^2+12xyz# , 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.


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