Identify the zero(s) of f(x)=x^3-2x^2+x-2

Answer 1

x^3 -2x^2 +x -2

x=2 is one zero

divide x-2 into the 3 degree polynomial to get a quotient of x^2 +1

set it equal to zero and solve for x

x^2+1 = 0

x^2 = -1

x = + or - i

the 3 zeros are i, -i and 2