gaverell005
gaverell005 gaverell005
  • 11-08-2020
  • Mathematics
contestada

If p-1 is a factor of p^4+p^2+p-k,the value of k is ?

Respuesta :

konrad509
konrad509 konrad509
  • 11-08-2020

[tex]1^4+1^2+1-k=0\\3-k=0\\k=3[/tex]

Answer Link
Alfpfeu
Alfpfeu Alfpfeu
  • 11-08-2020

Answer:

k=3

Step-by-step explanation:

Hello, if p-1 is a factor of

[tex]f(p)=p^4+p^2+p-k[/tex]

it means that f(1)=0, so

1+1+1-k=0

3-k=0

k=3

thank you

Answer Link

Otras preguntas

What does 3 x 3/8 equal?
What is the area of the trapezoid 86in 112in 148in 184in
On a recent visit to Italy, your friend Gina admired the famous Pantheon In Rome. It was built using an architectural feature that resembles the upper half of a
4x^2 – 3x + 4 = 0 Use the discriminant to determine the number of real solutions for the quadratic equation. Pleaseee help!!!
45 45 90can someone help me solve this
QuestionA A ball thrown at 25m is at 400the horizontalas to clear two walS of height : 18mm head. calculateseparationbetween theawallsdoloconsiderthediagram​
PLEASE HELP I ONLY HAVE 5 minutes!! only right answers will mark brainlest!!
The sum of two numbers is 28 and their quotient is 3 What are the two numbers?
Which of the following is a stimulant? a. Opium b. Cocaine c. Barbiturates d. Marijuana
Plz help i need it!!!!!!!!!!!!!!!