Answer
See below
Work Step by Step
Given: $f(x)=x^3-2x^2+5$
We can see that there are 2 sign changes. There might be 2 or 0 positive zeros.
$f(-x)=(-x)^3-2(-x)^2+5=-x^3+2x^2+5$
There is one sign change here. Thus, there is one zero.
The possible combinations:
2 positive real, 1 negative real
0 positive real, 1 negative real, 2 imaginary.
