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

Mention the direct consequence of the following factors on the chemical behaviour of transition elements: 1) Transition elements can lose as well as accept elec
help me please, im struggling
According to World Bank data, the highest levels of income inequality are found in countries such as __________. a. Sweden and Germany b. Norway and Finland
What’s an example of a single displacement reaction in everyday life
Where in the bible does it talk about taking communion
In "A Wagner Matinee" why does Clark worry that Georgiana may feel uncomfortable in the concert hall?
can yall help me please
The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a
What is the constant term in the expression 8xy − 9x2 y − 5x 6
How do you think kingdoms used to be controlled during ancient times?