Hi, I am taking a java class and I am stuck on this problem? Can anyone please help also I need to be able to run it with no problem. The main method is not required but if you can right it in there so i can test it program and then i will remove it.. I just want to be able to test the code when it is done.

A one-variable quadratic expression is an arithmetic expression of the form ax² + bx + c where a, b, and c are some fixed numbers (called coefficients) and x is a variable that can take on different values.

Specify (provide specifications), design (provide algorithms), and implement (provide code) a class called Quadratic that can store information about a quadratic expression. The constructor should set all three coefficients to zero, and another method should you to change these coefficients.

There should be accessor methods to retrive the current values of the coefficients. There also should be a method to allow you to evaluate the quadratic expression at a particular value of x (i.e. the method has one parameter x and returns the value of the expression ax² + bx + c ).

There should also be a clone method to create clones of a quadratic expression as well as an equals method to compare the equality of two quadratic expressions. Two quadratic expressions are equal if their coefficients a,b, and c are equal.

Also write the following static methods to perform these indicated operations:

public static Quadratic sum(Quadratic q1, Quadratic q2)

//postcondition: the return value is the quadratic expression obtained by adding q1 and q2. For example, the coefficient c of the return value is the sum of q1's c and q2's c.

public static Quadratic scale(double r, Quadratic q)

//postcondition: the return value is the quadratic expression obtained by multiplying each of q's coefficient by the number r.

Submission instructions

Specifications and algorithms should be provided in terms of method comments.

Your code should compile and run without any errors.

Main and test methods are not required. However, you can add them for yourself to run and test your code.