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

Essay about the death penalty
An automobile accelerates from 20 m/s to 50 m/s in 5.0 seconds what is its acceleration
what is 1 5/8 +4 7/8 show work
How does endosymbiosis play A role in evolution of prokaryotes and eukaryotes and how are mitochondria important to this evolution?
Express 14 100 000 in scientific notation
what do we call a part of the body with a special function?
How do I expand mx(ab-b) by using the distributive property?
Which words in the sentence are the predicate adjectives? A snake's skin feels dry and smooth to the touch. Choose all answers that are correct. a. touch b. ski
How do you solve X+y=11 Xy=30
What is the type of tissue that consist of living cells surrounding by an extracellular matrix?