Question 891074
Can you factorize?  Try checking possible rational roots.  Choose from  plus or minus 1,2,3,4,6, maybe 12.


Using synthetic division to check rational roots:
<b>1 is a root</b>.  The binomial factor is {{{x-1}}}.
This means, the cubic expression in the equation is {{{(x-1)(x^2-12x-12)}}}.


Now check the quadratic factor:


Discriminant is {{{144-4*(-12)=144+48=192}}}
{{{192=4*48=4*12*4=4*4*4*3}}}


{{{x=(12+- sqrt(4*4*4*3))/2}}}
{{{x=(12+- sqrt(2^6*3))/2}}}
{{{x=(12+- 8sqrt(3))/2}}}
{{{highlight(x=6+- 4sqrt(3))}}}----the other two roots.