How do you find the degree of 10+2cd4−6d2g?

1 Answer
NJ
Jun 6, 2018

5

Explanation:

The convention for the degree of a multivariate polynomial is to look at each term and sum the total variable powers. The highest total power is the degree of the polynomial.

The first term 10 has no variables, so it is degree 0.

The second term 2cd4 has two variables. One is degree 1 and the other is degree 4. The total degree of this term is 5.

The third term 6d2g has two variables. One is degree 2 and the other is degree 1. The total degree of this term is 3.

Since the highest degree term is 5, this is the degree of the multivariate polynomial.

If the question is looking for the degree of the polynomial with respect to a specific variable, then the highest power that exists in the polynomial for that variable would be the degree of the polynomial.

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