Brain Teaser - Dont know the answer

The person who sent me the question earlier also sent me a link to the solution (it is not exactly a solution though, just a concept)...He was just messing with my mind since I told him I was preparing for the exam....

https://www.sosmath.com/algebra/factor/fac01/fac01.html

I am not sure if this will ever be tested on GMAT but it is something interesting.

Again, if this post doesnt belong here, please let me know and I can delete it or move it someplace else.

i dont think this can be solved
coz if u calculate discrminator in dino. it is not Real

b^2 - 4ac

9 - 4*3 = -3
D<0, So roots of eq are imaginary and GMAT deals in Real Nos only....not imaginary

if u stil want , u can take roots as Iota..and then can solve

That is what I told my friend and then he sent me the link.

The discriminator is negative - so, no roots. Hence cant be solved...

Anyways, it worked my brain for a couple of minutes...

This is not the place to post this question . But the link provided is pretty straightforward, so what if the denominator does not have real roots, in such a case it would not divide the numerator perfectly and hence would have a remainder =/= 0 . This is what seems to have been given in the link too.

Cheers.