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 the answer to 5(p+6)=8p
How did cooperation among faiths lead to development in philosophy? Please help pleaaz
The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3x + 1.True or false? Please help!
A mnemonic is a tool that you can use when you are studying to help you do which of the following? a. remember lists or large amounts of information more easily
ms. royal left for work at 7 48 a.m she reached her office at 8 23 a.m how log did ms royal take to get to her office .
How do you covert oz to pt
What is the answer to 7+6/(-7+9)^2
who is Socrates? why was he put on trial? what was the outcome?
Qin Shihuangdi was buried with over 6,000 soldiers and horses made of _____. A. Jewels. B. Terra- cotta. C. Gold or D. Bronze
order 1/6, 2,5, 3/5, and 3/7 from least to greatest