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Chapter 0: Problem 96

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 the powers of the variable terms in the polynomial. To find it, calculate the sum of the powers in each term and take the highest of these sums.

Step by step solution

01

Understanding Degree of a Term

Degree of a term in a polynomial is the sum of the exponents of the variables in that term. For example, in the term \(x^2y^3\), the degree would be \(2+3=5\).
02

Identifying All Degrees

Identify the degrees of all the individual terms within the polynomial by finding the sum of the powers of each term.
03

Find the Highest Degree

Look at the degrees for all individual terms. The degree of the polynomial is the highest of these sums. So, from the identified degrees, take the highest one. That is the degree of the polynomial in two variables.

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