What is the degree of #7x^2y^2 - 8xy^3 - 11x^3y#?

1 Answer
mason m
Mar 1, 2016

#4#

Explanation:

The degree of a polynomial is the highest degree of any given term.

To find the degree of each individual term, add all the exponents present. Recall that #x=x^1#.

#underbrace(7x^2y^2)_ (2+2=4) - underbrace(8x^1y^3)_ (1+3=4) - underbrace(11x^3y^1)_ (3+1=4)#

The degree of each term is #4#. Hence the degree of the polynomial is the highest degree of any one term, but since they are all #4#, the polynomial's degree is also #4#.

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