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

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Answer 1 · 2015-09-26T08:54:09

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.#

Answer 2 · 2015-09-26T14:23:36

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