How do you find degree in a polynomial #x^6yz - x^8 y^2 -3x^5y^2 z^3#?

1 Answer
George C.
Jan 4, 2016

Find the maximum degree of any term is #10# so the degree of the multivariate polynomial is #10#.

Explanation:

The degree of each term is the sum of the exponents of the variables.

So the degree of #x^6yz# is #6+1+1=8#

The degree of #x^8y^2# is #8+2 = 10#

The degree of #3x^5y^2z^3 = 3+5+2 = 10#

So the maximum degree is #10# and the degree of the multivariate polynomial is #10#.

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