Given a polynomial function of the form f(x)=a subscript n baseline x superscript n baseline plus a subscript n minus 1 baseline x superscript n minus 1 baseline plus a subscript n minus 2 baseline x superscript n minus 2 baseline plus . . plus a 1 x plus a 0, which statement is true about the rational zeros theorem?
a.
in order to apply the rational zeros theorem, all coefficients of the given polynomial function must be positive numbers.
b.
after creating a list of potential rational zeros using the rational zeros theorem, the given polynomial function is guaranteed to have a zero that appears on that list.
c.
the potential rational zeros of the given polynomial must be of the form p over q where p must be a factor of the leading coefficient a subscript n and q must be a factor of the constant coefficient a subscript 0.
d.
if a polynomial function has integer coefficients and a rational zero, then the rational zero must appear on the list created using the rational zeros theorem.