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

Which statement describes the automotive industry in the 1950s? A. The automotive industry declined because public transportation became more widely available.
what happened to the whitman mission and why?
Would it be technically correct to say that some plants go to sleep at night? explain.
Write a diary entry as a Cherokee traveling to Indian territory on the trail of tears
Find the sum: 5 + 6. A. -11 B. -1 C. 1 D. 11
Which of these leaders used terror, intimidation, propaganda and violence to control the people the dictated over? A. Hitler B. Mussolini C. Stalin D. All
the country that controlled the most territory in the Americas was ________________ .
How to interpret it
The statement that was intended to protect newly independent nations in Latin America is called _____________ _______________. The Native Americans that had a
What are the only arteries that carry oxygen-poor blood in the body??