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

Can someone help me with this plssss it would help so much! (IM GIVING LOTS OF POINTS!!!!!!!!
HELPP!! i need the answer to this i need it do e by the end of the dayyyy
A biology class examined some flowers in a local meadow. The students saw 98 perennial flowers and 2 annual flowers. What percentage of the flowers were perenni
Find the surface area of the rectangular prism. 4 cm 8 cm 5 cm
importance of bacteria to food preservation
let me stay here a bit (Add Questions tag)​
The scale on a blueprint of a home is 1 in : 4 ft. The actual length of the family room is 26 feet. What is the blueprint length?
Find the value of x. Please help :)
I am having trouble understanding what im supposed to do, i can do the of the assignment if i can understand how to solve this thanks. For information, the assi
Government types of the Soviet Union and Cuba