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

PLEASE HELP ASAP!!!!! NEED DONE QUICKLY!!!!!!!!
6. Find the area of the shaded region. All angles are right angles. Show your reasoning. 35 10 15 10 30 10 15 10 60
graph the following equation on the provided blank x-y graph Y= -2/3x+4
There are 13 cards of each suit in a deck of 52 cards (13 hearts, 13 diamonds, etc.). What is the probability of not picking a diamond? Simplify, if possible.
How we write alkane to Carboxylic acids when n=1,n=3?​
helpl please urgent!! plzzzzzzzzzzzz
5th grade math I need to help my brother but I forgot how to do this...
sorry by mistake btw what is a prism
how can playing basketball develop specific fitness components?​
a. Nick deposits money in a Certificate of Deposit account (CD). The balance (in dollars) in his account t years after making the deposit is given by N(t)=400(1