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Chapter 5: Problem 99

Explain how to find the degree of a polynomial in two variables.

Short Answer

Expert verified
The degree of a polynomial in two variables is the highest sum of exponents in any term of the polynomial.

Step by step solution

01

Identify all terms in the polynomial

The first step is to identify all terms in the polynomial. In a polynomial, terms are separated by plus or minus operations. Each term in a polynomial in two variables will be of the form ax^my^n, where a is the coefficient, m and n are the exponents with respect to the variables x and y, and x and y are the variables.
02

Calculate the degree of each term

The degree of a term in a polynomial in two variables is the sum of the exponents of the variables. Thus, for each term ax^my^n from Step 1, the degree would be m+n.
03

Find the maximum degree

After finding the degree of each term, identify which term has the highest degree. The degree of the polynomial is the highest degree among all terms.

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Subtract: \(-4.6-(-10.2)\)

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