The degree of the polynomial is the highest power of the variable that occurs in the polynomial it is the power of the first variable if the function is in general form. Although the order of the terms in the polynomial function is not important for performing operations, we typically arrange the terms in descending order of power, or in general form. Identifying the Degree and Leading Coefficient of a Polynomial Functionīecause of the form of a polynomial function, we can see an infinite variety in the number of terms and the power of the variable. Ĭannot be written in this form and is therefore not a polynomial function. f ( x ) = 6 x 4 + 4.Ĭan be written as g ( x ) = − x 3 + 4 x. Where the powers are non-negative integers and the coefficients are real numbers.Ĭan be written as f ( x ) = 6 x 4 + 4. + a 2 x 2 + a 1 x + a 0, f ( x ) = a n x n +. The first two functions are examples of polynomial functions because they can be written in the form f ( x ) = a n x n +.
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