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

public void quadratic(){ int a = polynomial.get(0); int b = polynomial.get(1); int c = polynomial.get(2); int root1 = (int) ((-b+Math.sqrt(b*b-4*a*c))/2); int root2 = (int) ((-b-Math.sqrt(b*b-4*a*c))/2);

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(); }