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

round 75.4614 to the nearest thousandth
Under our Constitution, some powers belong to the states. What is one power of the states?
How to write third person and describe please give me Ideas thank you
What group of people was taken to America and sold as slaves?
Name one right only for United States citizens.
What does the President’s Cabinet do?
What did Susan B. Anthony do?
One beneficial use of radioisotopes is (1) detection of disease (2) neutralization of an acid spill (3) decreasing the dissolved O2(g) level in seawater (4) inc
The concentration of a solution can be expressed in (I ) milliliters per minute (2) parts per million (3) grams per Kelvin (4) joules per gram
One beneficial use of radioisotopes is (1) detection of disease (2) neutralization of an acid spill (3) decreasing the dissolved O2(g) level in seawater (4) inc