*********************
(5*x^4 - 8*x^3 + 9*x^2 - 8*x + 5, (7*x + 5)*(x + 1)^4)
[-5/7, -1]
000******************
(12*x^5 - 12*x^4 + 12*x^3 - 5*x^2 - 4*x + 15, (7*x + 5)*(4*x + 3)*(x + 1)^4)
[-5/7, -3/4, -1]
0********************
(20*x^5 - 20*x^4 + 13*x^3 - 4*x^2 - 7*x + 20, (7*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -5/7, -1]
000000***************
(6*x^5 - 6*x^4 + 6*x^3 - 6*x^2 - x + 10, (7*x + 5)*(3*x + 2)*(x + 1)^4)
[-2/3, -5/7, -1]
000******0***********
(40*x^6 - 27*x^5 + 12*x^4 + 23*x^3 - 40*x^2 + 59*x + 60, (7*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -5/7, -3/4, -1]
000******0***00******
(4*x^5 - 7*x^4 + 12*x^3 - 5*x^2 - 4*x + 15, (7*x + 5)*(4*x + 3)*(x + 1)^4)
[-5/7, -3/4, -1]
0****0***************
(15*x^5 - 20*x^4 + 13*x^3 - 4*x^2 - 7*x + 20, (7*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -5/7, -1]
000******0**********0
(20*x^6 - 42*x^5 + 12*x^4 + 23*x^3 - 40*x^2 + 59*x + 60, (7*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -5/7, -3/4, -1]
0****0********0******
(10*x^5 - 20*x^4 + 13*x^3 - 4*x^2 - 7*x + 20, (7*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -5/7, -1]
000000********0******
(15*x^6 - 16*x^5 + 6*x^4 - 6*x^3 - 29*x^2 + 46*x + 40, (7*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/7]