Let f(x)=(x^2+6x+9)^{50} -4x+3, and let r_1,r_2,.....r_100 be the roots of f(x). Compute (r_1+3)^{100}+(r_2+3)^{100}+.....+(r_100+3)^{100}.
Thanks!
This is A O P S homework. Do not cheat.