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 does not equal 4, it equals 5

Explanation:

Answer 2

k = 4

Explanation:

Given,

`P(x)=x^(4) -2x^(3) +kx-4`

when , P(x) is divided by (x - 1) , the remainder = 0

⇒
`P(x) = (x-1)(x^(3) -x^(2) -x+4)`

hence, k = 4