Question 979438
First step, graph the function.
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*[illustration t1.JPG].
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Look like {{{x=2/3}}} is a root.
So then,
{{{3x-2}}} is a factor of the cubic polynomial. 
Divide it out.
{{{(6x^3+5x^2-9x+2)/(3x-2)=2x^2+3x-1}}}
Now you can use the quadratic formula to solve for the other two roots.
Verify that your solutions match the solutions in the graph.
If there wasn't an obvious root, like we had at {{{x=2/3}}}, the next option was to use the cubic formula similar to the quadratic formula but much more complicated.
You can Google it to see.