Answer:
k = - 3
Step-by-step explanation:
Given that (x - 1) is a factor of the polynomial then x = 1 is a root
Substitute x = 1 into the polynomial and equate to zero, that is
4(1)³ + 3(1)² - 4(1) + k = 0, that is
4 + 3 - 4 + k = 0
3 + k = 0 ( subtract 3 from both sides )
k = - 3
