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

Consider: 222× −322 = 33 6×922 Do you agree or disagree? _____________ Justify your choice:
Find the value of the variable X=????
Blocks with masses of 3.0 kg , 4.0 kg , and 5.0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 20 N force applied to the 3.
A cone has a height of 10 meters and a radius of 7 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. cubic meters
(9-6i)m =9 - 6i What is m? A) 0 B) 1 C) 9+6i D) -9+6i
From the numbers 1,3,8,15,18,23,28,and, 33, write down two prime numbers
How should this situation have been prevented
Ace movers charge $50 plus $40 per hour to move household goods crosstown Hanks movers charges $65 per hour for what length of time does it cost less to hire Ha
A type of stressor that originates from destructive relationships with others
7times a number is 8 less than the square of that number. Find the positive solution.