vdirectioner96151 vdirectioner96151
  • 02-11-2021
  • Mathematics
contestada

Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n

Respuesta :

lynnkc2000 lynnkc2000
  • 02-11-2021

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

Answer Link

Otras preguntas

Six-year-old Alex likes to fix things with his dad around the house. He grabs his toy tools and sometimes even picks up a real screwdriver to try and help his d
510 visitors in 30 hours or 960 visitors in 60 hours, which is greater​
Two reactants combine to form one new product. Which of the following best describes this type of chemical reaction? Combustion Synthesis Decomposition Sin
An ideal gas at a flow rate of 10m3/min enters a compressor at 25 °C and 1 bar. It leaves at 1 MPa. During this process, heat is dissipated to the surroundings
Explain the significance of the Mayflower Compact and why was it a ground breaking document at that time?
What is the average acceleration of the object represented in the graph above over the eight seconds? 0.5 cm/s2 1.0 cm/s2 1.5 cm/s2 2.0 cm/s2
2) The purpose of Woodrow Wilson's "Fourteen Points" was to​
How did attitudes change towards women in the Middle Ages ?
Select the correct answer. Look at the picture and choose the correct statement. A. El reloj está encima de los libros. B. El reloj está lejos de los libros.
Gala Company is a manufacturer of laptop computers. Various costs and expenses associated with its operations are as follows. The company intends to classify th