Determine whether the rational root theorem provides a complete list of all roots for the following polynomial functions.

f(x) = 4x^2 − 25
a. no, this polynomial has complex roots
b. no, this polynomial has irrational roots
c. no, this polynomial has irrational and complex roots
d. yes.

g(x) = 4x^2 + 25
a. no, this polynomial has complex roots
b. no, this polynomial has irrational roots
c. no, this polynomial has irrational and complex roots
d. yes.

h(x) = 3x^2 − 25
a. no, this polynomial has complex roots
b. no, this polynomial has irrational roots
c. no, this polynomial has irrational and complex roots
d. yes.