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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