If x−b is factor of f(x).then f(b) must equal 0. Based on the table,f(4)=0,Therefore,x−4 must be a factor of f(x) Choice A is incorrect because f(2)≠0; choice B is incorrect because no information is given about the value of f(3), so x−3 may or may not be a factor of f(x); and choice D is incorrect because f(5)≠0.