Find the critical numbers of
$f(x)= |x^3 - 3 x^2 + 2|$

Enter the points in increasing order and enter N into any blank you don't need to use.

Hint: Notice that one of the roots of $x^3-3x^2+2$ is easy to guess (a graph may also help). You can now use the root you guessed to factor $x^3-3x^2+2$ as a product of a linear factor and a quadratic polynomial.