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

Otras preguntas

Each of us weighs a tiny bit less on the ground floor of a skyscraper than we do on the top floor. One reason for this is that _____. A. the gravitational fie
5554 5274 4994 4714 what's the rule
what are 2 function of the circulatory system
What does the oxygen compositional layer of the atmosphere do
Which equation represents a line that passes through (2, –1/2) and has a slope of 3?
The values of two antiques were observed for a period of 50 years. The following equations model the value of each antique, where y is the value of the antiques
Which element is not part of Aristotle’s rhetorical triangle theory? ethos logos anaphora pathos
Which answer is correct?
what happens when a solid compound dissolves in water?
what determines how a star develops after the red gaint stage in its cycle? what two things can happen in the life of a massive star after it passes from the su