Concept:Use the factor theorem: if (x−1) is a factor, then x=1 makes the polynomial zero.Explanation:Given polynomial: 4x3+3x2−4x+k.Since (x−1) is a factor, put x=1.Then 4(1)3+3(1)2−4(1)+k=0.Simplify: 4+3−4+k=0.So, 3+k=0.Therefore, k=−3.Answer:The value of k is −3, so the correct option is C.