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 method of generating electricity doesn't make use of a rotating generator?
Translucent definition: __________ is allowed to pass through translucent objects.
what is the ordered pair solution for;x + 2y = 53x - y = 1
What does ¿Cuál es la fecha de mañana? mean and how would you reply?
Evaporation: Large amounts of water evaporates from the Earth's ________, _______, __________ every day. The water vapor (evaporation) becomes part of the _____
I need to factor 5a^2 + 7a + 6b^2 - 4b  but I can't figure it out.......could it possibly be prime?
what are the steps to evaporation but without heat just evaporation steps to follow
Solve: K= 2(11 - k) + 14
what is the difference between a pentagonal prism and a pentagonal pyramid???????????
Rick has a collection of 6 video games. He let's his best friend borrow 2/6 of his video game collection. Write two fracations a equivalent to this numbet. Expl