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Finding the degree of a polynomial with multiple variables is only a little bit trickier than finding the degree of a polynomial with one variable. Let's say you're working with the following expression: x5y3z + 2xy3 + 4x2yz2 Just add up the degrees of the variables in each of the terms; it does not matter that they are different variables. Remember that the degree of a variable without a written degree, such as x or y, is just one. Here's how you do it for all three terms: deg(x5y3z) = 5 + 3 + 1 = 9 deg(2xy3) = 1 + 3 = 4 deg(4x2yz2) = 2 + 1 + 2 = 5 The largest degree of these three terms is 9, the value of the added degree values of the first term. 9 is the degree of the entire polynomial. You can write the final answer like this: deg (x5y3z + 2xy3 + 4x2yz2) = 9.
Write the expression. Add the degree of variables in each term. Identify the largest degree of these terms. Identify this number as the degree of the polynomial.