.10- letfbea continuous function defined on[-2009,2009] such that f(x)is irrational for each x e -2009,2009] and f(0) = 2+v3+v5. then, which of the following is

.10- Letfbea continuous function defined on[-2009,2009] such that f(x)is irrational for each x E -2009,2009] and f(0) = 2+v3+V5. Then, which of the following is/are TRUE? (a)f(2009)x2 + 2f(0)x + f(2009) =0 has no rational roots. (b)f(2009)x2 +2f(0)x + f(2009) = 0 has only rational roots. (c) f(2009)x* + 2f(0)x + f(2009) = 0 has no irrational roots. (d) f(2009)x2 +2f(0)x + f(2009) = 0 has only irrational roots.