Write the code for the rational zero test in the following java program:

import java.util.ArrayList; import java.util.List;

public class Poly{ private List coefficients; private List signs; private List polynomial; private List roots; public Poly(List coefficients, List signs){ this.coefficients = coefficients; this.signs = signs; Descartes(); this.roots = new ArrayList(); this.polynomial = makePolynomial(); factor(); displayRoots(); } public void Descartes(){ int count = 0; String temp = ""; for(int i = 0; i 0 && !temp.equals(signs.get(i))){ count++; } temp = signs.get(i); } } public List makePolynomial(){ List polynomial = coefficients; for(int i = 0; i

roots.add(root1); roots.add(root2); } public int rationalZeroTest(){ int root=0; return root; } public void synthetic(){ } public void factor(){ if(polynomial.size() == 3){ quadratic(); } int root = rationalZeroTest(); synthetic(); } public void displayRoots(){ for(int i = 0; i