Question 121412
A quick graph shows the region of interest.
{{{ graph( 300, 300, -5, 1, -2, 2, x^3-2x^2+4) }}} 
Plugging in negative values for x. 
Look for y to change signs. 
-2.0,-12
-1.9,-10.079
-1.8,-8.312
-1.7,-6.693
-1.6,-5.216
-1.5,-3.875
-1.4,-2.664
-1.3,-1.577
-1.2,-0.608
-1.1,0.249
There is a zero between x=-1.1 and x=-1.2.
{{{highlight(x=-1.1)}}}