shekina1 shekina1
  • 02-10-2017
  • Mathematics
contestada

The root x = 1 has multiplicity 3 for the function f(x)=x^3-x^2-x+1. True or false

Respuesta :

Аноним Аноним
  • 02-10-2017
x^3 - x^2 - x + 1 = 0
Plug in x = 1:-
1 -1 - 1 + 1 = 2 - 2 = 0  so x =1 is a root.

If it has multiplicity 3 then  the function will factor to (x - 1)^3:-

(x - 1)^3 = (x - 1)(x^2 - 2x + 1) =  x^3 - 2x^2  + x - x^2 + 2x - 1 
             
 =  x^3 - 3x^2 + 3x - 1  so it is FALSE

Answer Link

Otras preguntas

what is -65 x -2? 5j + 10j?
what was the cause of global warming
A word that tells you where or when something is in relation to something else
What Are Steps Taken By Indian Government To Promote Education?
If I fly from USA to Mexico, can I re-enter by car to the USA?
express the percent as a rate per 100
Which of these events happened first in English history? King John signed the Magna Carta. Parliament divided into two houses. William the Conqueror became king
pablo bought 3 notebooks for $5.85. how much did each notebook cost?
The frog's tongue is anchored in the very front- opposite to the orientation and anchoring of humans. Why do you think this is so?
The faces of a number cube are numbered 1 through 6. Event A = {Rolling a 2, 4, or 6}. What is the complement of event A?