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The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.
Example 1. 5 x 3 â 4 x 2 + 7 x â 8. The variable, in this case x, is also called the argument of the polynomial. Here is a polynomial with argument t : t 2 â5 t + 1. When we write a polynomial, the style is to begin with the highest exponent and go to the lowest. 4, 3, 2, 1. (For the general form of a polynomial, see Problem 6 below.). 6. The degree of a term is the sum of the exponents of all the variables in that term. In functions of a single variable, such as x, the degree of a term is simply the exponent.