That is, they all have the same upper limit on the degree. This class has the limitation that all Polynomials have the same 'physical size'. It can represent a polynomial of any degree up to and including MAX_DEGREE (a global constant defined with the class).
(similar to the List class in section 6.2 of your textbook). A polynomial of degree n has n + 1 coefficients.Īn array of size k can hold the coefficients for a polynomial of degree k - 1 (or a smaller degree).īelow you will find code for a Polynomial class that uses an array to hold the polynomial coefficients One way to represent a polynomial is to use an array to hold the coefficients. Note that a polynomial with degree 2 is called a quadratic polynomial.
Note that x 1 is the same as x, and x 0 is 1.Ī polynomial whose coefficients are all zero has degree -1. The highest exponent with non-zero coefficient, n, is called the degree of the polynomial.Ġx 2 + 2x + 3 is normally written as 2x + 3 and has degree 1. , a 2, a 1, and a 0 are constants called the coefficients of the polynomial. Where x is a variable that can take on different numeric valuesĪnd a n. I will not make any changes unless I find problems.īe sure to read through Section 6.3 in your textbook before starting this assignment.Ī polynomial in one variable is an arithmetic expression of the form Program 2 - Polynomial Class with a Dynamic Arrayįinal version.
