Question

which of the following is a root of the polynomial function below
a. 2+i
b.1
c.2
d. -2+i

Answer 1

x3 - 3x2 + 2=(x-1)( x^2-2x-2) 
x^2-2x-2 
= x^2-2x+1-1-2 
= ( x^2-2x+1)-3 
= (x-1)^2-3=0 
gives 
(x-1)^2=3 
x-1= +/- sqrt3 
x= 1 +/- sqrt3 
ONLY C is the answer