A student calculated g(5)=2 for a polynomial g(x) and concluded that (x−5) is a factor of g(x).
(a) The conclusion is correct because g(5) is a positive number.
(b) The conclusion is incorrect because a non-zero value of g(5) means the remainder is not zero.
(c) The conclusion is correct only if g(x) is cubic.
(d) The conclusion is incorrect because, for (x−5) to be a factor, g(5) should be 1.