Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Polynomial Order

    Definition

    The highest order power in a univariate polynomial is known as its order (or, more properly, its polynomial degree). For example, the polynomial P(x) = a_n x^n + ... + a_2 x^2 + a_1 x + a_0 is of order n, denoted deg P(x) = n. The order of a polynomial is implemented in the Wolfram Language as Exponent[poly, x]. It is preferable to use the word "degree" for the highest exponent in a polynomial, since a completely different meaning is given to the word "order" in polynomials taken modulo some integer (where this meaning is the one used in the multiplicative order of a modulus). In particular, the order of a polynomial P(x) with P(0)!=0 is the smallest integer e for which P(x) divides x^e + 1.

    Related Wolfram Language symbol

    Exponent

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.