Question 1130007
"Grouping" Method
{{{x^3+5x^2-2x-10}}}
{{{x^3+5x^2-(2x+10)}}}
{{{x^3+5x^2-2(x+5)}}}
{{{x^2(x+5)-2(x+5)}}}
{{{(x^2-2)(x+5)}}}



Synthetic Division, Check for Possible Roots:
A few roots to try, but...
<pre>

-5    |    1    5    -2    -10
      |
      |        -5     0     10
      |______________________________
          1    0    -2      0
</pre>
Shows that  {{{-5}}} works so {{{x+5}}} is one factor, and the resulting quotient shows  {{{x^2-2}}} is a the other factor.