If p(3)=0 for a cubic polynomial p(x), which of the following statements is correct?
(a) (x+3) is a factor of p(x)
(b) (x−3) is the quotient when p(x) is divided by (x+3)
(c) (x−3) is a factor of p(x)
(d) The remainder when p(x) is divided by (x−3) is 3