What is the degree of #3x^4y^2 - 5x^2y + 3#?

2 Answers
Jim H
Jun 26, 2015

It is degree #6#.

Explanation:

The degree of a term (a monomial) is the sum of the exponents on the variables. The degree of a polynomial is equal to the degree of the term of the highest degree term with non-zero coefficient.

The degree of #3x^4y^2# is #6#, because #4+2 = 6#

The degree of #-5x^2y# is #3#, because #2+1 = 3#

The degree of #3# is #0#, because no variable to a positive power appears.

The degree of #3x^4y^2-5x^2y+3# is the greatest of those degree, so it is #6#.

Bruno09
Jun 28, 2015

The degree is 6 and it is on the first term #3x4y2#.

Explanation:

You must use exponential rules. When multiplying, sum the exponents. 4 + 2 = 6.

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