Find the zeros of the polynomial equation
X^3 - 2x^2 + 2x - 4 = 0
To find the zeros of the polynomial equation, we need to find the values of "x" for which the equation is equal to zero.
By factoring, we can rewrite the equation as:
(x - 2)(x^2 + 2) = 0
Setting each factor equal to zero gives us:
x - 2 = 0, which gives us x = 2
x^2 + 2 = 0, which does not have real solutions since the discriminant is negative.
Therefore, the only zero of the polynomial equation is x = 2.