Answer:
k = 5
Step-by-step explanation:
The polynomial function of x is given by [tex]P(x) = x^{4} -2x^{3} +kx -4[/tex], where k is an unknown integer.
If P(x) is divided by (x - 1), then the remainder will be zero.
So, P(x) will have a factor (x - 1). and putting x = 1 will give the value of the function P(x) = 0.
Therefore, 0 = 1 - 2 + k -4
⇒ k = 5 (Answer)
