Question 866887
The polynomial must be positive VALUE and x must be a positive VALUE.  The polynomial is not factorable.  As a function, the polynomial opens upward and has a minimum.


roots:
{{{x=(11+- sqrt(121-4*24))/2}}}
{{{x=(11+- sqrt(121-96))/2}}}
{{{x=(11+- sqrt(25))/2}}}
The PLUS sqrt is necessary.
{{{x=(11+5)/2}}}
{{{x=8}}}


{{{highlight(x>8)}}} necessary
So either dimension MUST {{{highlight(DIMENSION>(x-8))}}} for domain {{{highlight(x>8)}}}.



A graph of the fun0ction may help.
{{{graph(300,300,-1,12,-2,14,x^2-11x+24)}}}