Question

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

p(x)divided by (x-1) has a remainder of 0 what is the value of k?

Answer 1

k = 5

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)