Let P(x)=2x(x+1)(x+1/3) and Q(x)=x(x+1). Their largest root is 0. For R=P-Q, R(0)=0 and R(1/100)=-4747/1500000, so R decreases between two points in the claimed tail.
RESULT_JSON: {"p_coefficients":["2","8/3","2/3","0"],"q_coefficients":["1","1","0"],"p_roots":["-1","-1/3","0"],"q_roots":["-1","0"],"x1":"0","x2":"1/100"}
