1) A one variable quadraticexpression is an arithmetic expression of then formax

Question

1)      A one variable quadraticexpression is an arithmetic expression of then formax2+bx+c, where a, b and c are some fixed numbers calledcoefficientsand x is a variable that can take on different values. Specify,design and implement a class that can store information about aquadratic expression. The constructor should set all 3 coefficientsto zero, and another method should allow you to change thesecoefficients. There should be accessor methods to retrieve thecurrent values of the coefficients. There should also be a methodto allow you to evaluate the quadratic expression at a particularvalue of x. Write a main program to take input and show theoutput.

Alsowrite the methods to perform these indicated operations:

Quadratic result;

result = Quadratic.Sum (quadObj1 + quadObj2)

Youneed to write Sum method. Inthis case, the coefficients are added.

Quadratic result;

result = Quadratic.Scale(quadObj1 * multiplier)

Youneed to write Scale method. In this case, the coefficients of quadObj1 are multiplied bymultiplier.This should be a double.

Explanation / Answer

import java.io.*; public class Quadratic{ public double a; public double b; public double c; public Quadratic() {    this.a = 0;    this.b = 0;      this.c = 0; } public Quadratic(double a, double b, double c) {    this.a = a;    this.b = b;      this.c = c; } public double getA() {    return a; } public double getB() {    return b; } public double getC() {    return c; } public double calculate(double x) {    double sum =((a * x * x) + (b * x) +c);    return sum; } public Quadratic sum( Quadratic q1, Quadratic q2) {    double a= (q1.getA() + q2.getA());    double b= (q1.getB() + q2.getB());    double c= (q1.getC() + q2.getC());       Quadratic q3= new Quadratic(a, b, c);    return q3; } public Quadratic scale( Quadratic q1, double multiplier) {    double a= (q1.getA() * multiplier);    double b= (q1.getB() * multiplier);    double c= (q1.getC() * multiplier);       Quadratic q3= new Quadratic(a, b, c);    return q3; } public static void main(String[] args){ Quadratic q1= new Quadratic(1, 1, 1); Quadratic q2 = new Quadratic(2, 2, 2); double number = 0; System.out.print("Enter the number to evaluate the quadraticexpression: "); try{    number = Double.parseDouble (newBufferedReader(new InputStreamReader(System.in)).readLine()); } catch (Exception e){    e.printStackTrace(); } System.out.println(); System.out.println(q1.calculate(number)); System.out.println(); Quadratic q3 = q1.sum(q1, q2); System.out.println(q3.calculate(number)); System.out.println(); q3 = q1.scale(q1, 3); System.out.println(q3.calculate(number)); System.out.println(); } }

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