<PRE><B>Question 1005756</B>
Given is that one of the zeros is  {{{-2}}}; and using this in synthetic division should give a factorable quadratic quotient.

&lt;pre&gt;
    -2    |   5   -1   -18   8
          |
          |       -10   22   -8
          |____________________________
              5   -11    4   0
&lt;/pre&gt;
Essentially showing what you/your group found.


The quadratic result should (hopefully) be factorable.  A try:
Discriminant, {{{(-11)^2-4*5*4=121-20*5=121-80=41}}}, and you should expect two REAL, IRRATIONAL zeros for this quadratic factor.
They are  {{{highlight((11-sqrt(41))/10)}}}   and  {{{highlight((11+sqrt(41))/10)}}}.
-
The formula for the general solution of quadratic equation was used.



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Fixed mistake in denominators</PRE>