dorothynagy1427 dorothynagy1427

25-10-2019
Mathematics

contestada

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

Respuesta :

jimrgrant1 jimrgrant1

25-10-2019

Answer:

k = 3

Step-by-step explanation:

Since p - 1 is a factor then p(1) = 0

p(x) = [tex]p^{4}[/tex] + p² + p - k, thus

p(1) = [tex]1^{4}[/tex] + 1² + 1 - k = 0, that is

1 + 1 + 1 - k = 0

3 - k = 0 ⇒ k = 3

Answer Link

Otras preguntas

Beth Rides a Train every winter for 236 miles for 4 hours. If she rides 236 miles for 4 hours, how many miles does she travel for each hour?

Numbers 3 and 4 are difficult

What were the provisions of the Treaty of Versailles? Check all that apply.

Why did the French establish settlements along the Great Lakes and the St. Lawrence? A. to protect New France from invasions through Canada B. to profit from th

What is the least common multiple of the two denominators 6/8 or 4/32 I need this asp

Describe a real-world situation that the graph could represent

It was not until the _______ was ratified that the bill of rights began to be applied to the states.

Only serious people abswer

complete the solution of the equation. find the value of y when x equals 10. 5x-y=54

What is the biggest difference in who makes the contributions to 401(k) and IRA retirement plans?