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