Question

P(x)=x^4-2x^3+kx-4 where k is an unknown integer

Answer 1

Answer:

k = 5

Step-by-step explanation:

The polynomial function of x is given by $P(x) = x^{4} -2x^{3} +kx -4$, 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)