 # Description: Create a class called Polynomial for performing arith...

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Description: Create a class called Polynomial for performing arithmetic with polynomials. In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. A polynomial in a single variable X can always be written in the form: anx" +an-12n-1 + + a2x2 + aix + ao where are constants and X is the variable. 3x² 5.c + 4. Polynomial must provide the followings: term term term 1 2 3 Constructors: Polynomial (double[]] a) - Polynomial p1 = new Polynomial (new double[]{4, -5, 3}); Polynomial (list of doubles) - Polynomial p2 = new Polynomial(3, -5, 4); // observe ordering Copy constructor Mutator/accessor: set (double[[ a) - new coefficients get() - copy of the coefficients equals - compare n toString - return "3x^2 - 5x + 4" aix i f (double x) - evaluate and return the value of the polynomial i=0 Polynomial. add(Polynomial lhs, Polynomial rhs) - polynomial addition, returns a polynomial main - test all the features of the class Require I/O: F. Last 's Polynomials Test output F. Last is your first initial and last name. You must format the program input and output exactly as shown. Shaded texts are your program execution time I/O.

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/**
* Name: Last, First
* Project:
* Due:
* Course:
* Description:
* This class implements a Polynomial object
* which realizes a representation of a Polynomial
* and performs arithmetic with Polynomials.
*/

public class Polynomial {

//field storing coefficients
private double[] a;

// Redundant Constructor with Array input (list accepts array)
//public Polynomial(double[] a) {
//    set(a);
//}

// Polynomial constructor accepting list of coefficients
public Polynomial(double... a) {
set(a);
}

// Polynomial constructor copying another Polynomial object
public Polynomial(Polynomial other) {
this(other.get...

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