Question 1190367
Given that x-3 is one of the factors, 3 is a root.

checking root of 3 using synthetic division

<pre>
3  |   1   -5    -14   60
   |
   |       3     -6   -60
   |______________________________
       1   -2    -20    0
</pre>
Factorization looks like  {{{(x-3)(x^2-2x-20)}}}.


Discriminant of the quadratic factor - zero or positive or negative?
{{{(-2)^2-4*1*(-20)}}}
{{{4+80}}}
{{{84}}}------positive number.  but  Not a perfect square.  If not want to go to factors with square roots of numbers, then
  
{{{highlight((x-3)(x^2-2x-20))}}}