Question 78943
That is not a problem.  It is an expression.  There are many things that can be done with an expression.  Next time I hope you will ask the question more completely and clearly!

Since you are letting me guess what is supposed to be done with it, I could graph it or solve for it = 0, but I think maybe you want me to factor it

{{{ 12 x^2 - 41 x + 24 }}}

This is going to be {{{ (ax + b) (cx + d) }}} 

It multiplies out as {{{ ac * x^2 + (a*d + b*c) x + (b*d) }}}
This must be equal to {{{ 12 x^2 - 41 x + 24 }}}
Therefore it must be {{{ ac=12 }}},  {{{(a*d + b*c) = -41}}}, and {{{ (b*d) = 24 }}}.

and the goal is to discover right numbers to use for a, b, c, d.
I will try to find an answer with whole numbers (no fractions or square roots yet).

a*c = 12 
some possibilities are
(a=1,c=12), (a=2,c=6), (a=3,c=4), (a=4,c=3), (a=6,c=2), or (a=12, c=1).  

b*d = 24 
some possibilities are
(b=-1,d=-24), (b=-2,d=-12), (b=-3,d=-8), (b=-4,d=-6)

The next goal is to find the right combination of those possibilities to get a*d + b*c = -41 

This can be done slowly by trying out a lot of combinations, but then you probably get tired of it and hopefully notice some patterns.

What has to happen to get -41

One thing is that a*d has to be odd or b*c has to be odd.  This eliminates a lot of combinations.  You can't have a and c both be even, and you can't have b and d both be even.  Also you cant have a big number for a and d at the same time because it gets too far over -41 if you have things like 12*8 in it.

It turns out -41 is the smallest odd term you can get

Here are some of the details

You can work with these:(a=1,c=12), (a=3,c=4), (a=4,c=3), (a=12, c=1)
and (b=-1,d=-24), (b=-3,d=-8)

(a=4,c=3,b=-1,d=-24) -> ad+bc = -96-3 = -99
(a=4,c=3,b=-3,d=-8) -> ad+bc = -32 - 9 = -41    <-- this one is the answer
(a=12,c=1,b=-1,d=-24) -> ad+bd = -288 - 1 = -289
(a=12,c=1,b=-3,d=-8) -> ad+bd = -96 - 3 = -99

So it factors as {{{ (4x - 3)(3x - 8) = (12x^2 - 41 x + 24) }}} and I am glad that is over.  There are faster answers like completing the square and the quadratic formula.  I hope this is the question you wanted to ask.  Next time please say what you want the tutor to do.