Question 987562
.
The roots of the polynomial  f(x) = {{{x^3 + 2x^2 - 9x - 18}}}  are  -3,  -2  and  3.  You can check it directly.


So, &nbsp;the polynomial is factored as &nbsp;{{{x^3 + 2x^2 - 9x - 18}}} = (x+3)*(x+2)*(x-3). &nbsp;The sketch is shown in the &nbsp;<B>Figure</B>.

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{{{graph( 330, 400, -5.5, 5.5, -25.5, 5.5,
          x^3 + 2x^2 - 9x - 18
)}}}


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Figure</B>

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</TABLE>

Could you make the table of signs yourself?