afilaurianemiga afilaurianemiga
  • 02-11-2019
  • Mathematics
contestada

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?

Respuesta :

arindamvutla arindamvutla
  • 07-11-2019

Answer:

k = 4

Step-by-step explanation:

Given,

[tex]P(x)=x^{4} -2x^{3} +kx-4[/tex]

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

⇒ [tex]P(x) = (x-1)(x^{3} -x^{2} -x+4)[/tex]

hence, k = 4

Answer Link
jennis6663 jennis6663
  • 28-04-2020

Answer:

k does not equal 4, it equals 5

Step-by-step explanation:

Answer Link

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